$5.33^{3}$- $320^{2}$+ $1234^{1}$+4170.66

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



You asked:

Evaluate the expression: \({5.33}^{3} - {320}^{2} + {1234}^{1} + 4170.66\)

MathBot Answer:

\[{5.33}^{3} - {320}^{2} + {1234}^{1} + 4170.66 = - \frac{96843920563}{1000000} = -96843.920563\]

\[\begin{aligned}{5.33}^{3} - {320}^{2} + {1234}^{1} + 4170.66& = \left(5 + \frac{33}{100}\right)^{3} - 320^{2} + 1234^{1} + 4170 + \frac{66}{100}\\& = \left(\frac{533}{100}\right)^{3} - 320^{2} + 1234^{1} + 4170 + \frac{66}{100}\\& = \frac{151419437}{1000000} - 320^{2} + 1234^{1} + 4170 + \frac{66}{100}\\& = \frac{151419437}{1000000} - 102400 + 1234^{1} + 4170 + \frac{66}{100}\\& = \frac{151419437}{1000000} - 102400 + 1234 + 4170 + \frac{66}{100}\\& = \frac{151419437}{1000000} - 102400 + 1234 + 4170 + \frac{33}{50}\\& = - \frac{102248580563}{1000000} + 1234 + 4170 + \frac{33}{50}\\& = - \frac{101014580563}{1000000} + 4170 + \frac{33}{50}\\& = - \frac{96844580563}{1000000} + \frac{33}{50}\\& = - \frac{96843920563}{1000000}\end{aligned}\]

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