Question

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

512


8^4


4,096


520

Answer 1

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

In this case:

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

Now, we can evaluate \( 8^4 \):

\[
8^4 = (8^2)^2 = 64^2 = 4,096
\]

Therefore, the numerical equivalent of \( 8^1 \cdot 8^3 \) is \( 8^4 \) and its numerical value is \( 4,096 \).

So, the correct responses are:

**8^4** and **4,096**.