Algebra Examples

$\frac{a^{2}}{\frac{a^{3}}{a^{5}}}$

Step 1

Cancel the common factor of $a^{3}$ and $a^{5}$ .

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Step 1.1

Multiply by $1$ .

$\frac{a^{2}}{\frac{a^{3} \cdot 1}{a^{5}}}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $a^{3}$ out of $a^{5}$ .

$\frac{a^{2}}{\frac{a^{3} \cdot 1}{a^{3} a^{2}}}$

Step 1.2.2

Cancel the common factor.

$\frac{a^{2}}{\frac{a^{3} \cdot 1}{a^{3} a^{2}}}$

Step 1.2.3

Rewrite the expression.

$\frac{a^{2}}{\frac{1}{a^{2}}}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$a^{2} a^{2}$

Step 3

Multiply $a^{2}$ by $a^{2}$ by adding the exponents.

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Step 3.1

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

$a^{2 + 2}$

Step 3.2

Add $2$ and $2$ .

$a^{4}$