Question

simplify 4^13•3^-5

Answer 1

To simplify the expression \(4^{13} \cdot 3^{-5}\), we can first rewrite \(4^{13}\) in terms of a base of \(2\):

\[
4^{13} = (2^2)^{13} = 2^{26}
\]

Now, we substitute this back into the original expression:

\[
4^{13} \cdot 3^{-5} = 2^{26} \cdot 3^{-5}
\]

Since this expression is already in its simplest form, we can leave it as:

\[
\frac{2^{26}}{3^5}
\]

Thus, the simplified form of \(4^{13} \cdot 3^{-5}\) is:

\[
\frac{2^{26}}{3^5}
\]