Algebra Examples

$- 81^{\frac{1}{2}}$

Step 1

Simplify the expression.

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Step 1.1

Rewrite $81$ as $9^{2}$ .

$- {(9^{2})}^{\frac{1}{2}}$

Step 1.2

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

$- 9^{2 (\frac{1}{2})}$

Step 2

Cancel the common factor of $2$ .

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Step 2.1

Cancel the common factor.

$- 9^{2 (\frac{1}{2})}$

Step 2.2

Rewrite the expression.

$- 9^{1}$

Step 3

Simplify the expression.

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Step 3.1

Evaluate the exponent.

$- 1 \cdot 9$

Step 3.2

Multiply $- 1$ by $9$ .

$- 9$