Algebra Examples

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

Step 1

Simplify the expression.

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Step 1.1

Rewrite $- 81$ as ${(9 i)}^{2}$ .

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

Step 1.2

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

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

Step 2

Cancel the common factor of $2$ .

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Step 2.1

Cancel the common factor.

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

Step 2.2

Rewrite the expression.

${(9 i)}^{1}$

Step 3

Simplify.

$9 i$