To find the numerical equivalent of \(8^1 \cdot 8^3\), we can use the property of exponents that states \(a^m \cdot a^n = a^{m+n}\).
So, we have:
\[ 8^1 \cdot 8^3 = 8^{1+3} = 8^4 \]
Now, let's evaluate \(8^4\):
\[ 8^4 = (2^3)^4 = 2^{3 \cdot 4} = 2^{12} \]
Calculating \(2^{12}\):
\[ 2^{12} = 4096 \]
Thus, the numerical equivalent of \(8^1 \cdot 8^3\) is:
8^4 or 4096.
Since the multiple choices provided include both, the answer matches with 8^4 as well as 4096.
However, following the instructions you provided, the correct answer to select would be:
8^4.
1 answer