Question

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

512
512

520
520

4,096
4,096

84
8 superscript 4 baseline
Remaining Attempts : 3
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Answer 1

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

So:

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

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

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

Calculating step by step:

1. \( 8 \cdot 8 = 64 \)
2. \( 64 \cdot 8 = 512 \)
3. \( 512 \cdot 8 = 4096 \)

Thus, \( 8^4 = 4096 \).

The numerical equivalent of \( 8^1 \cdot 8^3 \) is \( 4,096 \).

So the correct response is:

**4,096**