Question

simplify.
rewrite the expression in the form $8^n$.
$(8^{-8})(8^{3}) = \square$

Explanation:

Step1: Apply exponent rule for multiplication

When multiplying exponents with the same base, we add the exponents: \(a^m \cdot a^n = a^{m + n}\). Here, the base \(a = 8\), \(m=-8\), and \(n = 3\). So we calculate \(-8+3\).

Step2: Calculate the sum of exponents

\(-8 + 3=-5\). So the expression \((8^{-8})(8^{3})\) simplifies to \(8^{-5}\) using the exponent rule.

Answer:

\(8^{-5}\)