Find the numerical equivalent of 8^1⋅8^3

Question

.(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.