Basic Math Examples

$\frac{{(a^{5})}^{4}}{a^{4}}$

Step 1

Multiply the exponents in ${(a^{5})}^{4}$ .

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Step 1.1

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

$\frac{a^{5 \cdot 4}}{a^{4}}$

Step 1.2

Multiply $5$ by $4$ .

$\frac{a^{20}}{a^{4}}$

Step 2

Cancel the common factor of $a^{20}$ and $a^{4}$ .

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Step 2.1

Factor $a^{4}$ out of $a^{20}$ .

$\frac{a^{4} a^{16}}{a^{4}}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Multiply by $1$ .

$\frac{a^{4} a^{16}}{a^{4} \cdot 1}$

Step 2.2.2

Cancel the common factor.

$\frac{a^{4} a^{16}}{a^{4} \cdot 1}$

Step 2.2.3

Rewrite the expression.

$\frac{a^{16}}{1}$

Step 2.2.4

Divide $a^{16}$ by $1$ .

$a^{16}$