Evaluate 8^-2q^3r^-5

$8^{- 2} q^{3} r^{- 5}$

Step 1

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

$\frac{1}{8^{2}} q^{3} r^{- 5}$

Step 2

Raise $8$ to the power of $2$ .

$\frac{1}{64} q^{3} r^{- 5}$

Step 3

Combine $\frac{1}{64}$ and $q^{3}$ .

$\frac{q^{3}}{64} r^{- 5}$

Step 4

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

$\frac{q^{3}}{64} \cdot \frac{1}{r^{5}}$

Step 5

Combine.

$\frac{q^{3} \cdot 1}{64 r^{5}}$

Step 6

Multiply $q^{3}$ by $1$ .

$\frac{q^{3}}{64 r^{5}}$