Pre-Algebra Examples

$C = 4 {(8500)}^{- \frac{1}{3}} (8.17)$

Step 1

Remove parentheses.

$C = 4 \cdot 8500^{- \frac{1}{3}} \cdot 8.17$

Step 2

Simplify $4 \cdot 8500^{- \frac{1}{3}} \cdot 8.17$ .

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Step 2.1

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$C = 4 \cdot \frac{1}{8500^{\frac{1}{3}}} \cdot 8.17$

Step 2.2

Combine $4$ and $\frac{1}{8500^{\frac{1}{3}}}$ .

$C = \frac{4}{8500^{\frac{1}{3}}} \cdot 8.17$

Step 2.3

Multiply $\frac{4}{8500^{\frac{1}{3}}} \cdot 8.17$ .

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Step 2.3.1

Combine $\frac{4}{8500^{\frac{1}{3}}}$ and $8.17$ .

$C = \frac{4 \cdot 8.17}{8500^{\frac{1}{3}}}$

Step 2.3.2

Multiply $4$ by $8.17$ .

$C = \frac{32.68}{8500^{\frac{1}{3}}}$

Step 2.4

Divide $1$ by $3$ .

$C = \frac{32.68}{8500^{0.\overline{3}}}$

Step 2.5

Raise $8500$ to the power of $0.\overline{3}$ .

$C = \frac{32.68}{20.4082755}$

Step 2.6

Divide $32.68$ by $20.4082755$ .

$C = 1.60131119$