Question

write the expression with only positive exponents and evaluate if possible. assume all variables represent nonzero real numbers.\\(4^{-3}\\)\\(\bigcirc\\) -64\\(\bigcirc\\) \\(\frac{1}{64}\\)\\(\bigcirc\\) -12\\(\bigcirc\\) \\(-\frac{1}{64}\\)

Explanation:

Step1: Apply negative exponent rule

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

Step2: Evaluate the positive exponent

$4^3 = 4\times4\times4 = 64$

Step3: Substitute back to get result

$\frac{1}{4^3} = \frac{1}{64}$

Answer:

B. $\frac{1}{64}$