5.3335.33^{3}- 3202320^{2}+ 123411234^{1}+4170.66

asked by guest
on Nov 23, 2024 at 10:12 pm



You asked:

Evaluate the expression: 5.333−3202+12341+4170.66{5.33}^{3} - {320}^{2} + {1234}^{1} + 4170.66

MathBot Answer:

5.333−3202+12341+4170.66=−968439205631000000=−96843.920563{5.33}^{3} - {320}^{2} + {1234}^{1} + 4170.66 = - \frac{96843920563}{1000000} = -96843.920563

5.333−3202+12341+4170.66=(533100)3−3202+12341+4170.66=1514194371000000−3202+12341+4170.66=1514194371000000−102400+12341+4170.66=−1022485805631000000+12341+4170.66=−1022485805631000000+1234+4170.66=−1010145805631000000+4170.66=−1010145805631000000+20853350=−968439205631000000\begin{aligned}{5.33}^{3} - {320}^{2} + {1234}^{1} + 4170.66&={\left( \frac{533}{100} \right)}^{3} - {320}^{2} + {1234}^{1} + 4170.66\\&=\frac{151419437}{1000000} - {320}^{2} + {1234}^{1} + 4170.66\\&=\frac{151419437}{1000000} - 102400 + {1234}^{1} + 4170.66\\&=\frac{-102248580563}{1000000} + {1234}^{1} + 4170.66\\&=\frac{-102248580563}{1000000} + 1234 + 4170.66\\&=\frac{-101014580563}{1000000} + 4170.66\\&=\frac{-101014580563}{1000000} + \frac{208533}{50}\\&=\frac{-96843920563}{1000000}\end{aligned}

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