Question

Exponent Rules Unit Test
12 of 1512 of 15 Items

Question
Which of the following is the solution of 4−3?(1 point)
Responses

134
Start Fraction 1 over 3 superscript 4 baseline End Fraction

14−3
Start Fraction 1 over 4 superscript negative 3 baseline End Fraction

164
Start Fraction 1 over 64 End Fraction

64

Answer 1

To solve \( 4^{-3} \), we use the exponent rule that states \( a^{-n} = \frac{1}{a^n} \).

Applying this rule:

\[
4^{-3} = \frac{1}{4^3}
\]

Now, we calculate \( 4^3 \):

\[
4^3 = 4 \times 4 \times 4 = 64
\]

So:

\[
4^{-3} = \frac{1}{64}
\]

Among the provided options, the correct response is:

**\( \frac{1}{64} \)**