Simplify 8^-5 × 8^3.

Question

Responses
A 1/8^8
B 1/8^2
C -8^-15
D 8^-15

Answer 1

To simplify \( 8^{-5} \times 8^3 \), we can use the property of exponents that states \( a^m \times a^n = a^{m+n} \).

Here, we have:

\[ 8^{-5} \times 8^3 = 8^{-5 + 3} = 8^{-2} \]

Now, \( 8^{-2} \) can be rewritten as:

\[ 8^{-2} = \frac{1}{8^2} \]

So, the simplified form of \( 8^{-5} \times 8^3 \) is \( \frac{1}{8^2} \).

Therefore, the answer is \( \boxed{B} \).