Math Snap

STEP 1

Assumptions1. We are dealing with the multiplication of two powers of the same base (4).
. The properties of exponents apply, specifically the rule that states $a^{m} \cdot a^{n} = a^{m+n}$, where $a$ is the base and $m$ and $n$ are the exponents.

STEP 2

We apply the rule of exponents mentioned above to our problem. This means we add the exponents of the two powers of4.
$$4^{5} \cdot4^{2} =4^{5+2}$$

Now, we perform the addition operation in the exponent.
$$^{5+2} =^{7}$$So, $^{5} \cdot^{2}$ simplifies to a single power of, $^{7}$.