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

Answer 1

To solve \(4^{-3}\) using the property of negative integer exponents, we start by applying the property which states that \(a^{-n} = \frac{1}{a^n}\).

So, we can rewrite \(4^{-3}\) as:

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

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

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

Now we substitute \(64\) into our expression:

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

Thus, the final answer, expressed without any exponent notation or decimals, is:

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