(5/3)^-5*(5/3)^-11=(5/3)^8*x

Find the value of x

asked by guest
on Nov 25, 2024 at 5:36 am



You asked:

Solve the equation \[{\left( \frac{5}{3} \right)}^{-5} {\left( \frac{5}{3} \right)}^{-11} = {\left( \frac{5}{3} \right)}^{8} x\] for the unknown \(x\).

MathBot Answer:

The solution is: \[x = \frac{282429536481}{59604644775390625} = 0.000004738381338321616896\]

\[\begin{aligned}\frac{43046721}{152587890625} &= \frac{390625 x}{6561}\\- \frac{390625 x}{6561} &= - \frac{43046721}{152587890625}\\x &= \frac{282429536481}{59604644775390625}\end{aligned}\]

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