Algebra Examples

$\frac{w^{3} \cdot w^{5}}{{(w^{2})}^{4}}$

Step 1

Multiply $w^{3}$ by $w^{5}$ by adding the exponents.

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Step 1.1

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{w^{3 + 5}}{{(w^{2})}^{4}}$

Step 1.2

Add $3$ and $5$ .

$\frac{w^{8}}{{(w^{2})}^{4}}$

Step 2

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

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Step 2.1

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

$\frac{w^{8}}{w^{2 \cdot 4}}$

Step 2.2

Multiply $2$ by $4$ .

$\frac{w^{8}}{w^{8}}$

Step 3

Cancel the common factor of $w^{8}$ .

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Step 3.1

Cancel the common factor.

$\frac{w^{8}}{w^{8}}$

Step 3.2

Rewrite the expression.

$1$