Basic Math Examples

${(a^{8} b^{8})}^{\frac{1}{9}}$

Step 1

Apply the product rule to $a^{8} b^{8}$ .

${(a^{8})}^{\frac{1}{9}} {(b^{8})}^{\frac{1}{9}}$

Step 2

Multiply the exponents in ${(a^{8})}^{\frac{1}{9}}$ .

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Step 2.1

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

$a^{8 (\frac{1}{9})} {(b^{8})}^{\frac{1}{9}}$

Step 2.2

Combine $8$ and $\frac{1}{9}$ .

$a^{\frac{8}{9}} {(b^{8})}^{\frac{1}{9}}$

Step 3

Multiply the exponents in ${(b^{8})}^{\frac{1}{9}}$ .

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Step 3.1

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

$a^{\frac{8}{9}} b^{8 (\frac{1}{9})}$

Step 3.2

Combine $8$ and $\frac{1}{9}$ .

$a^{\frac{8}{9}} b^{\frac{8}{9}}$