Question

Find the numerical equivalent of 7^2⋅7^3

Answer 1

To find the numerical equivalent of \(7^2 \cdot 7^3\), we can use the property of exponents that states \(a^m \cdot a^n = a^{m+n}\).

Applying this property:

\[
7^2 \cdot 7^3 = 7^{2+3} = 7^5
\]

Now, we can calculate \(7^5\):

\[
7^5 = 7 \cdot 7 \cdot 7 \cdot 7 \cdot 7 = 7 \cdot 7 = 49,
\]
\[
49 \cdot 7 = 343,
\]
\[
343 \cdot 7 = 2401.
\]

Therefore, \(7^5 = 2401\).

Thus, the numerical equivalent of \(7^2 \cdot 7^3\) is \( \boxed{2401} \).