Question

evaluate. write your answer as a whole number or as a simplified fraction. $\frac{4^{-3}}{9} = \frac{\square}{\square}$

Explanation:

Step1: Rewrite negative exponent

$4^{-3} = \frac{1}{4^3}$

Step2: Calculate denominator value

$4^3 = 4 \times 4 \times 4 = 64$

Step3: Divide by 9 (rewrite as multiplication)

$\frac{\frac{1}{64}}{9} = \frac{1}{64} \times \frac{1}{9}$

Step4: Multiply the fractions

$\frac{1}{64 \times 9} = \frac{1}{576}$

Answer:

$\frac{1}{576}$