Simplify 4w^8x^5y^-4z^-2

$4 w^{8} x^{5} y^{- 4} z^{- 2}$

Step 1

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

$4 w^{8} x^{5} \frac{1}{y^{4}} z^{- 2}$

Step 2

Multiply $4 w^{8} x^{5} \frac{1}{y^{4}}$ .

Combine $4$ and $\frac{1}{y^{4}}$ .

$w^{8} x^{5} \frac{4}{y^{4}} z^{- 2}$

Combine $w^{8}$ and $\frac{4}{y^{4}}$ .

$x^{5} \frac{w^{8} \cdot 4}{y^{4}} z^{- 2}$

Combine $x^{5}$ and $\frac{w^{8} \cdot 4}{y^{4}}$ .

$\frac{x^{5} (w^{8} \cdot 4)}{y^{4}} z^{- 2}$

Step 3

Move $4$ to the left of $x^{5} w^{8}$ .

$\frac{4 \cdot (x^{5} w^{8})}{y^{4}} z^{- 2}$

Step 4

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

$\frac{4 x^{5} w^{8}}{y^{4}} \cdot \frac{1}{z^{2}}$

Step 5

Combine.

$\frac{4 x^{5} w^{8} \cdot 1}{y^{4} z^{2}}$

Step 6

Multiply $4$ by $1$ .

$\frac{4 x^{5} w^{8}}{y^{4} z^{2}}$