Algebra Examples

${(\frac{a^{2}}{2^{b}})}^{4}$

Step 1

Apply the product rule to $\frac{a^{2}}{2^{b}}$ .

$\frac{{(a^{2})}^{4}}{{(2^{b})}^{4}}$

Step 2

Multiply the exponents in ${(a^{2})}^{4}$ .

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Step 2.1

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

$\frac{a^{2 \cdot 4}}{{(2^{b})}^{4}}$

Step 2.2

Multiply $2$ by $4$ .

$\frac{a^{8}}{{(2^{b})}^{4}}$

Step 3

Multiply the exponents in ${(2^{b})}^{4}$ .

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Step 3.1

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

$\frac{a^{8}}{2^{b \cdot 4}}$

Step 3.2

Move $4$ to the left of $b$ .

$\frac{a^{8}}{2^{4 b}}$