Simplify 4^-2h^-4j^3

$4^{- 2} h^{- 4} j^{3}$

Step 1

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

$\frac{1}{4^{2}} h^{- 4} j^{3}$

Step 2

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

$\frac{1}{16} h^{- 4} j^{3}$

Step 3

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

$\frac{1}{16} \cdot \frac{1}{h^{4}} j^{3}$

Step 4

Combine.

$\frac{1 \cdot 1}{16 h^{4}} j^{3}$

Step 5

Multiply $1$ by $1$ .

$\frac{1}{16 h^{4}} j^{3}$

Step 6

Combine $\frac{1}{16 h^{4}}$ and $j^{3}$ .

$\frac{j^{3}}{16 h^{4}}$