Basic Math Examples

$8 h^{- 6} w^{5 \cdot (2 h w^{- 5})}$

Step 1

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$8 \frac{1}{h^{6}} w^{5 \cdot (2 h w^{- 5})}$

Step 2

Combine $8$ and $\frac{1}{h^{6}}$ .

$\frac{8}{h^{6}} w^{5 \cdot (2 h w^{- 5})}$

Step 3

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{8}{h^{6}} w^{5 \cdot (2 h \frac{1}{w^{5}})}$

Step 4

Multiply $2 h \frac{1}{w^{5}}$ .

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Step 4.1

Combine $2$ and $\frac{1}{w^{5}}$ .

$\frac{8}{h^{6}} w^{5 \cdot (h \frac{2}{w^{5}})}$

Step 4.2

Combine $h$ and $\frac{2}{w^{5}}$ .

$\frac{8}{h^{6}} w^{5 \cdot \frac{h \cdot 2}{w^{5}}}$

Step 5

Move $2$ to the left of $h$ .

$\frac{8}{h^{6}} w^{5 \cdot \frac{2 \cdot h}{w^{5}}}$

Step 6

Multiply $5 \frac{2 h}{w^{5}}$ .

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Step 6.1

Combine $5$ and $\frac{2 h}{w^{5}}$ .

$\frac{8}{h^{6}} w^{\frac{5 (2 h)}{w^{5}}}$

Step 6.2

Multiply $2$ by $5$ .

$\frac{8}{h^{6}} w^{\frac{10 h}{w^{5}}}$

Step 7

Combine $\frac{8}{h^{6}}$ and $w^{\frac{10 h}{w^{5}}}$ .

$\frac{8 w^{\frac{10 h}{w^{5}}}}{h^{6}}$