(3+1/7)^4=97+.566014160766347355268638067471886713869221157850895460224906289046230737192836318200749687630154102457309454394002498958767180341524364847980008329862557267805081216159933361099541857559350270720533111203665139525197834235735110370678883798417326114119117034568929612661391087047063723448563098708871303623490212411495210329029571012078300708038317367763431903373594335693461057892544773011245314452311536859641815910037484381507705122865472719700124947938359017076218242399000416493127863390254060807996668054977092877967513536026655560183256976259891711786755518533944189920866305705955851728446480633069554352353186172428154935443565181174510620574760516451478550603915035401915868388171595168679716784673052894627238650562265722615576842982090795501874219075385256143273635985006247396917950853810912119950020824656393169512703040399833402748854643898375676801332778009162848812994585589337775926697209496043315285297792586422324031653477717617659308621407746772178259058725531028738025822573927530195751770095793419408579758433985839233652644731361932528113286130778842149104539775093710953769262807163681799250312369845897542690545605997501041232819658475635152019991670137442732194918783840066638900458142440649729279466888796334860474802165764264889629321116201582673885880882965431070387338608912952936276551436901291128696376509787588504789670970428987921699291961682632236568096626405664306538942107455226988754685547688463140358184089962515618492294877134527280299875052061640982923781757600999583506872136609745939192003331945022907122032486463973344439816743023740108288213244481466055810079133694294044148271553519366930445647646813827571845064556434818825489379425239483548521449396084964598084131611828404831320283215326947105372761349437734277384423157017909204498125780924614743856726364014993752603082049146189087880049979175343606830487296959600166597251145356101624323198667221990837151187005414410662224073302790503956684714702207413577675968346522282382340691378592253227821740941274468971261974177426072469804248229904206580591420241/.999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999

asked by guest
on Nov 26, 2024 at 9:25 am



You asked:

Investigate the equation: \({\left( 3 + \frac{1}{7} \right)}^{4} = 97 + \frac{.566014160766347355268638067471886713869221157850895460224906289046230737192836318200749687630154102457309454394002498958767180341524364847980008329862557267805081216159933361099541857559350270720533111203665139525197834235735110370678883798417326114119117034568929612661391087047063723448563098708871303623490212411495210329029571012078300708038317367763431903373594335693461057892544773011245314452311536859641815910037484381507705122865472719700124947938359017076218242399000416493127863390254060807996668054977092877967513536026655560183256976259891711786755518533944189920866305705955851728446480633069554352353186172428154935443565181174510620574760516451478550603915035401915868388171595168679716784673052894627238650562265722615576842982090795501874219075385256143273635985006247396917950853810912119950020824656393169512703040399833402748854643898375676801332778009162848812994585589337775926697209496043315285297792586422324031653477717617659308621407746772178259058725531028738025822573927530195751770095793419408579758433985839233652644731361932528113286130778842149104539775093710953769262807163681799250312369845897542690545605997501041232819658475635152019991670137442732194918783840066638900458142440649729279466888796334860474802165764264889629321116201582673885880882965431070387338608912952936276551436901291128696376509787588504789670970428987921699291961682632236568096626405664306538942107455226988754685547688463140358184089962515618492294877134527280299875052061640982923781757600999583506872136609745939192003331945022907122032486463973344439816743023740108288213244481466055810079133694294044148271553519366930445647646813827571845064556434818825489379425239483548521449396084964598084131611828404831320283215326947105372761349437734277384423157017909204498125780924614743856726364014993752603082049146189087880049979175343606830487296959600166597251145356101624323198667221990837151187005414410662224073302790503956684714702207413577675968346522282382340691378592253227821740941274468971261974177426072469804248229904206580591420241}{.999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999}\).

MathBot Answer:

This equation has no unknown quantities, so it is either true or false.

This equation is true because the left-hand side is equal to the right-hand side.

The left-hand side of the equation is:

\[{\left( 3 + \frac{1}{7} \right)}^{4} = \frac{234256}{2401}\]

The right-hand side of the equation is:

\[97 + \frac{.566014160766347355268638067471886713869221157850895460224906289046230737192836318200749687630154102457309454394002498958767180341524364847980008329862557267805081216159933361099541857559350270720533111203665139525197834235735110370678883798417326114119117034568929612661391087047063723448563098708871303623490212411495210329029571012078300708038317367763431903373594335693461057892544773011245314452311536859641815910037484381507705122865472719700124947938359017076218242399000416493127863390254060807996668054977092877967513536026655560183256976259891711786755518533944189920866305705955851728446480633069554352353186172428154935443565181174510620574760516451478550603915035401915868388171595168679716784673052894627238650562265722615576842982090795501874219075385256143273635985006247396917950853810912119950020824656393169512703040399833402748854643898375676801332778009162848812994585589337775926697209496043315285297792586422324031653477717617659308621407746772178259058725531028738025822573927530195751770095793419408579758433985839233652644731361932528113286130778842149104539775093710953769262807163681799250312369845897542690545605997501041232819658475635152019991670137442732194918783840066638900458142440649729279466888796334860474802165764264889629321116201582673885880882965431070387338608912952936276551436901291128696376509787588504789670970428987921699291961682632236568096626405664306538942107455226988754685547688463140358184089962515618492294877134527280299875052061640982923781757600999583506872136609745939192003331945022907122032486463973344439816743023740108288213244481466055810079133694294044148271553519366930445647646813827571845064556434818825489379425239483548521449396084964598084131611828404831320283215326947105372761349437734277384423157017909204498125780924614743856726364014993752603082049146189087880049979175343606830487296959600166597251145356101624323198667221990837151187005414410662224073302790503956684714702207413577675968346522282382340691378592253227821740941274468971261974177426072469804248229904206580591420241}{.999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999} = \frac{234256}{2401}\]

+ Submit Question