Pre-Algebra Examples

${(a^{6} b^{6})}^{\frac{1}{7}}$

Step 1

Apply the product rule to $a^{6} b^{6}$ .

${(a^{6})}^{\frac{1}{7}} {(b^{6})}^{\frac{1}{7}}$

Step 2

Multiply the exponents in ${(a^{6})}^{\frac{1}{7}}$ .

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Step 2.1

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

$a^{6 (\frac{1}{7})} {(b^{6})}^{\frac{1}{7}}$

Step 2.2

Combine $6$ and $\frac{1}{7}$ .

$a^{\frac{6}{7}} {(b^{6})}^{\frac{1}{7}}$

Step 3

Multiply the exponents in ${(b^{6})}^{\frac{1}{7}}$ .

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Step 3.1

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

$a^{\frac{6}{7}} b^{6 (\frac{1}{7})}$

Step 3.2

Combine $6$ and $\frac{1}{7}$ .

$a^{\frac{6}{7}} b^{\frac{6}{7}}$