Precalculus Examples

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

Step 1

Simplify the expression.

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Step 1.1

Apply the product rule to $9 x$ .

$9^{\frac{1}{2}} x^{\frac{1}{2}}$

Step 1.2

Rewrite $9$ as $3^{2}$ .

${(3^{2})}^{\frac{1}{2}} x^{\frac{1}{2}}$

Step 1.3

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

$3^{2 (\frac{1}{2})} x^{\frac{1}{2}}$

Step 2

Cancel the common factor of $2$ .

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Step 2.1

Cancel the common factor.

$3^{2 (\frac{1}{2})} x^{\frac{1}{2}}$

Step 2.2

Rewrite the expression.

$3^{1} x^{\frac{1}{2}}$

Step 3

Evaluate the exponent.

$3 x^{\frac{1}{2}}$