Basic Math Examples

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

Step 1

Combine.

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

Step 2

Multiply $a$ by $a^{4}$ by adding the exponents.

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Step 2.1

Multiply $a$ by $a^{4}$ .

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Step 2.1.1

Raise $a$ to the power of $1$ .

$\frac{a^{1} a^{4}}{b^{2} b^{- 2}}$

Step 2.1.2

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

$\frac{a^{1 + 4}}{b^{2} b^{- 2}}$

Step 2.2

Add $1$ and $4$ .

$\frac{a^{5}}{b^{2} b^{- 2}}$

Step 3

Multiply $b^{2}$ by $b^{- 2}$ 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.

$\frac{a^{5}}{b^{2 - 2}}$

Step 3.2

Subtract $2$ from $2$ .

$\frac{a^{5}}{b^{0}}$

Step 4

Simplify $b^{0}$ .

$\frac{a^{5}}{1}$

Step 5

Divide $a^{5}$ by $1$ .

$a^{5}$