Question

Find the numerical equivalent of 8^1 ⋅8^3
.(1 point)
Responses

4096
4096

520
520

84
8 to the 4th power

512

Answer 1

To find the numerical equivalent of \( 8^1 \cdot 8^3 \), we can use the property of exponents that states \( a^m \cdot a^n = a^{m+n} \).

Applying this property:

\[
8^1 \cdot 8^3 = 8^{1+3} = 8^4
\]

Now, we need to calculate \( 8^4 \):

\[
8^4 = 8 \cdot 8 \cdot 8 \cdot 8
\]

Calculating \( 8^2 \) first:

\[
8^2 = 64
\]
\[
8^3 = 8 \cdot 64 = 512
\]
\[
8^4 = 8 \cdot 512 = 4096
\]

Thus, the numerical equivalent of \( 8^1 \cdot 8^3 \) is \( 4096 \).

So, the final answer is:

**4096**