Basic Math Examples

${(a^{4} b^{4})}^{\frac{1}{7}}$

Step 1

Apply the product rule to $a^{4} b^{4}$ .

${(a^{4})}^{\frac{1}{7}} {(b^{4})}^{\frac{1}{7}}$

Step 2

Multiply the exponents in ${(a^{4})}^{\frac{1}{7}}$ .

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Step 2.1

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

$a^{4 (\frac{1}{7})} {(b^{4})}^{\frac{1}{7}}$

Step 2.2

Combine $4$ and $\frac{1}{7}$ .

$a^{\frac{4}{7}} {(b^{4})}^{\frac{1}{7}}$

Step 3

Multiply the exponents in ${(b^{4})}^{\frac{1}{7}}$ .

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Step 3.1

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

$a^{\frac{4}{7}} b^{4 (\frac{1}{7})}$

Step 3.2

Combine $4$ and $\frac{1}{7}$ .

$a^{\frac{4}{7}} b^{\frac{4}{7}}$