Algebra Examples

$- {(\sqrt[4]{6 m^{2}})}^{3}$

Step 1

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt[4]{6 m^{2}}$ as ${(6 m^{2})}^{\frac{1}{4}}$ .

$- {({(6 m^{2})}^{\frac{1}{4}})}^{3}$

Step 2

Multiply the exponents in ${({(6 m^{2})}^{\frac{1}{4}})}^{3}$ .

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Step 2.1

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

$- {(6 m^{2})}^{\frac{1}{4} \cdot 3}$

Step 2.2

Combine $\frac{1}{4}$ and $3$ .

$- {(6 m^{2})}^{\frac{3}{4}}$