Pre-Algebra Examples

$(23245^{- \frac{1}{3}}) (13.5)$

Step 1

To convert from slope to percent grade, multiply the slope by a hundred.

$(23245^{- \frac{1}{3}}) (13.5) = (23245^{- \frac{1}{3}}) (13.5) \cdot 100$

Step 2

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

$\frac{1}{23245^{\frac{1}{3}}} \cdot 13.5 \cdot 100 %$

Step 3

Combine $\frac{1}{23245^{\frac{1}{3}}}$ and $13.5$ .

$\frac{13.5}{23245^{\frac{1}{3}}} \cdot 100 %$

Step 4

Simplify the expression.

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Step 4.1

Divide $1$ by $3$ .

$\frac{13.5}{23245^{0.\overline{3}}} \cdot 100 %$

Step 4.2

Raise $23245$ to the power of $0.\overline{3}$ .

$\frac{13.5}{28.53929124} \cdot 100 %$

Step 4.3

Divide $13.5$ by $28.53929124$ .

$0.47303206 \cdot 100 %$

Step 4.4

Multiply $0.47303206$ by $100$ .

$47.30320694 %$