Simplify -4^2x^-1y^2z^3

$- 4^{2} x^{- 1} y^{2} z^{3}$

Step 1

Raise $4$ to the power of $2$ .

$- 1 \cdot 16 x^{- 1} y^{2} z^{3}$

Step 2

Multiply $- 1$ by $16$ .

$- 16 x^{- 1} y^{2} z^{3}$

Step 3

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

$- 16 \frac{1}{x} y^{2} z^{3}$

Step 4

Combine $- 16$ and $\frac{1}{x}$ .

$\frac{- 16}{x} y^{2} z^{3}$

Step 5

Move the negative in front of the fraction.

$- \frac{16}{x} y^{2} z^{3}$

Step 6

Combine $y^{2}$ and $\frac{16}{x}$ .

$- \frac{y^{2} \cdot 16}{x} z^{3}$

Step 7

Move $16$ to the left of $y^{2}$ .

$- \frac{16 \cdot y^{2}}{x} z^{3}$

Step 8

Combine $z^{3}$ and $\frac{16 y^{2}}{x}$ .

$- \frac{z^{3} (16 y^{2})}{x}$

Step 9

Move $16$ to the left of $z^{3}$ .

$- \frac{16 z^{3} y^{2}}{x}$