Question

Simplify: 4 to the 3 power multiply 4 to the negative 6 power

Answer 1

To simplify \( 4^3 \times 4^{-6} \), you can use the property of exponents that states \( a^m \times a^n = a^{m+n} \).

In this case, we have:

\[
4^3 \times 4^{-6} = 4^{3 + (-6)} = 4^{-3}
\]

Now, \( 4^{-3} \) can be expressed as:

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

Calculating \( 4^3 \):

\[
4^3 = 64
\]

Therefore,

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

So, the simplified result is:

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