Basic Math Examples

$\frac{z^{2 - 9}}{8 z + 24}$

Step 1

Move $z^{2 - 9}$ to the denominator using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{1}{(8 z + 24) z^{- (2 - 9)}}$

Step 2

Simplify the denominator.

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Step 2.1

Factor $8$ out of $8 z + 24$ .

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Step 2.1.1

Factor $8$ out of $8 z$ .

$\frac{1}{(8 (z) + 24) z^{- (2 - 9)}}$

Step 2.1.2

Factor $8$ out of $24$ .

$\frac{1}{(8 z + 8 \cdot 3) z^{- (2 - 9)}}$

Step 2.1.3

Factor $8$ out of $8 z + 8 \cdot 3$ .

$\frac{1}{8 (z + 3) z^{- (2 - 9)}}$

Step 2.2

Subtract $9$ from $2$ .

$\frac{1}{8 (z + 3) z^{- - 7}}$

Step 2.3

Multiply $- 1$ by $- 7$ .

$\frac{1}{8 (z + 3) z^{7}}$

Step 3

Reorder factors in $\frac{1}{8 (z + 3) z^{7}}$ .

$\frac{1}{8 z^{7} (z + 3)}$