Question

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

Explanation:

Step1: Apply exponent product rule

When multiplying like bases, add exponents: $a^m \cdot a^n = a^{m+n}$
So, $(8^{-8})(8^3) = 8^{-8+3}$

Step2: Calculate the new exponent

Compute the sum of exponents: $-8+3=-5$

Answer:

$8^{-5}$