Question

Apply the property of negative integer exponents to solve three negative power of four. The answer should not contain any exponents expression or decimals.

Answer 1

The expression "three negative power of four" can be interpreted as \( 4^{-3} \).

To solve this using the property of negative integer exponents, we can use the formula:

\[
a^{-n} = \frac{1}{a^n}
\]

Applying this to our expression:

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

Now, calculate \( 4^3 \):

\[
4^3 = 4 \times 4 \times 4 = 16 \times 4 = 64
\]

Substituting back, we have:

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

Therefore, the answer is:

\[
\frac{1}{64}
\]