Question

Question
Find the numerical equivalent of 7to the 2nd power ⋅7 to the 3rd power
(1 point)

Answer 1

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

So,

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

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

\[
7^5 = 7 \cdot 7 \cdot 7 \cdot 7 \cdot 7
\]
Calculating it step by step:

\[
7^2 = 49
\]
\[
7^3 = 7 \cdot 49 = 343
\]
\[
7^4 = 7 \cdot 343 = 2401
\]
\[
7^5 = 7 \cdot 2401 = 16807
\]

Thus, the numerical equivalent of \( 7^2 \cdot 7^3 \) is \( 16807 \).