Pre-Algebra Examples

$- 16^{\frac{1}{2}}$

Step 1

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

$- 16^{\frac{1}{2}} = - 16^{\frac{1}{2}} \cdot 100$

Step 2

Simplify the expression.

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Step 2.1

Rewrite $16$ as $4^{2}$ .

$- {(4^{2})}^{\frac{1}{2}} \cdot 100 %$

Step 2.2

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$- 4^{2 (\frac{1}{2})} \cdot 100 %$

Step 3

Cancel the common factor of $2$ .

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Step 3.1

Cancel the common factor.

$- 4^{2 (\frac{1}{2})} \cdot 100 %$

Step 3.2

Rewrite the expression.

$- 4 \cdot 100 %$

Step 4

Evaluate the exponent.

$- 1 \cdot 4 \cdot 100 %$

Step 5

Multiply $- 1 \cdot 4 \cdot 100$ .

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Step 5.1

Multiply $- 1$ by $4$ .

$- 4 \cdot 100 %$

Step 5.2

Multiply $- 4$ by $100$ .

$- 400 %$