Algebra Examples

${(\sqrt{6 x})}^{5}$

Step 1

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt{6 x}$ as ${(6 x)}^{\frac{1}{2}}$ .

${({(6 x)}^{\frac{1}{2}})}^{5}$

Step 2

Multiply the exponents in ${({(6 x)}^{\frac{1}{2}})}^{5}$ .

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Step 2.1

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

${(6 x)}^{\frac{1}{2} \cdot 5}$

Step 2.2

Combine $\frac{1}{2}$ and $5$ .

${(6 x)}^{\frac{5}{2}}$