Pre-Algebra Examples

$\frac{27 x^{3 - 8}}{3 x + 2}$

Step 1

Move $x^{3 - 8}$ to the denominator using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{27}{(3 x + 2) x^{- (3 - 8)}}$

Step 2

Simplify the denominator.

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Step 2.1

Subtract $8$ from $3$ .

$\frac{27}{(3 x + 2) x^{- - 5}}$

Step 2.2

Multiply $- 1$ by $- 5$ .

$\frac{27}{(3 x + 2) x^{5}}$

Step 3

Reorder factors in $\frac{27}{(3 x + 2) x^{5}}$ .

$\frac{27}{x^{5} (3 x + 2)}$