Basic Math Examples

$\frac{8 a^{- 4} b^{3}}{27 a^{- 2} b^{3}}$

Step 1

Move $a^{- 4}$ to the denominator using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{8 b^{3}}{27 a^{- 2} b^{3} a^{4}}$

Step 2

Multiply $a^{- 2}$ by $a^{4}$ by adding the exponents.

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Step 2.1

Move $a^{4}$ .

$\frac{8 b^{3}}{27 (a^{4} a^{- 2}) b^{3}}$

Step 2.2

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

$\frac{8 b^{3}}{27 a^{4 - 2} b^{3}}$

Step 2.3

Subtract $2$ from $4$ .

$\frac{8 b^{3}}{27 a^{2} b^{3}}$

Step 3

Cancel the common factor of $b^{3}$ .

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Step 3.1

Cancel the common factor.

$\frac{8 b^{3}}{27 a^{2} b^{3}}$

Step 3.2

Rewrite the expression.

$\frac{8}{27 a^{2}}$