Basic Math Examples

$\sqrt[4]{m} = 4$

Step 1

To remove the radical on the left side of the equation, raise both sides of the equation to the power of

$4$ .

${\sqrt[4]{m}}^{4} = 4^{4}$

Step 2

Simplify each side of the equation.

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Step 2.1

Use

$\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite

$\sqrt[4]{m}$ as

$m^{\frac{1}{4}}$ .

${(m^{\frac{1}{4}})}^{4} = 4^{4}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Simplify

${(m^{\frac{1}{4}})}^{4}$ .

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Step 2.2.1.1

Multiply the exponents in

${(m^{\frac{1}{4}})}^{4}$ .

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Step 2.2.1.1.1

Apply the power rule and multiply exponents,

${(a^{m})}^{n} = a^{m n}$ .

$m^{\frac{1}{4} \cdot 4} = 4^{4}$

Step 2.2.1.1.2

Cancel the common factor of

$4$ .

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Step 2.2.1.1.2.1

Cancel the common factor.

$m^{\frac{1}{4} \cdot 4} = 4^{4}$

Step 2.2.1.1.2.2

Rewrite the expression.

$m^{1} = 4^{4}$

Step 2.2.1.2

Simplify.

$m = 4^{4}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Raise

$4$ to the power of

$4$ .

$m = 256$