Solve the Fraction: Evaluating 1/4^(-3) Step by Step

First let's recall the negative exponent rule:

$a^{-n}=\frac{1}{a^n}$We'll apply it to the expression we received:

$\frac{1}{4^{-3}}=4^{-(-3)}=4^3=64$In the first stage, we carefully applied the above exponent rule, and since the term in the denominator is already a negative exponent, when using the mentioned rule we put the exponent of the term that was in the denominator in parentheses (this is to apply the minus sign associated with the exponent rule later), then we simplified the exponent expression that was obtained.

In the final stage, we calculated the actual numerical result of the expression we received.

Therefore, the correct answer is answer B.