Question

Find the numerical equivalent of 7 squared ⋅7 cubed

Answer 1

To find the numerical equivalent of \( 7^2 \cdot 7^3 \), we can use the exponent multiplication rule, which states that when multiplying two powers with the same base, we add the exponents.

So, we have:

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

Now, we need to calculate \( 7^5 \).

Calculating \( 7^5 \):

\[
7^5 = 7 \times 7 \times 7 \times 7 \times 7
\]

Calculating step by step:

1. \( 7 \times 7 = 49 \)
2. \( 49 \times 7 = 343 \)
3. \( 343 \times 7 = 2401 \)
4. \( 2401 \times 7 = 16807 \)

Thus,

\[
7^5 = 16807
\]

Therefore, the numerical equivalent of \( 7^2 \cdot 7^3 \) is \( \boxed{16807} \).