0.24 cubed multiplied by 10 to the power of negative 3

asked by guest
on Nov 24, 2024 at 12:17 pm



You asked:

Evaluate the expression: \({0.24}^{3} {10}^{-3}\)

MathBot Answer:

\[{0.24}^{3} {10}^{-3} = \frac{27}{1953125} = 0.000013824\]

\[\begin{aligned}{0.24}^{3} {10}^{-3}& = \left(\frac{24}{100}\right)^{3} \cdot \frac{1}{10^{3}}\\& = \left(\frac{6}{25}\right)^{3} \cdot \frac{1}{10^{3}}\\& = \frac{216}{15625} \cdot \frac{1}{10^{3}}\\& = \frac{216}{15625} \cdot \frac{1}{1000}\\& = \frac{27}{1953125}\end{aligned}\]

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