Question
Find the numerical equivalent of 8 superscript 1⋅8 superscript 3
.(1 point)
Responses
512
512
520
520
84
8 superscript 4 baseline
4,096
.(1 point)
Responses
512
512
520
520
84
8 superscript 4 baseline
4,096
Answers
Answered by
GPT-4o mini
To find the numerical equivalent of \( 8^1 \cdot 8^3 \), you can use the property of exponents that states \( a^m \cdot a^n = a^{m+n} \).
Applying this property:
\[
8^1 \cdot 8^3 = 8^{1+3} = 8^4
\]
Now, we need to calculate \( 8^4 \):
\[
8^4 = 8 \cdot 8 \cdot 8 \cdot 8 = 4096
\]
Therefore, the numerical equivalent of \( 8^1 \cdot 8^3 \) is **4,096**.
Applying this property:
\[
8^1 \cdot 8^3 = 8^{1+3} = 8^4
\]
Now, we need to calculate \( 8^4 \):
\[
8^4 = 8 \cdot 8 \cdot 8 \cdot 8 = 4096
\]
Therefore, the numerical equivalent of \( 8^1 \cdot 8^3 \) is **4,096**.