Question

simplify the expression using exponent rules. leave your answer in exponential form with a positive exponent. (1 point)
\\((a^8 \times a^{-5})^4 = \square\\)

Explanation:

Step1: Apply the product rule of exponents ( \(a^m \times a^n = a^{m + n}\) ) inside the parentheses.

\(a^8 \times a^{-5} = a^{8 + (-5)} = a^{3}\)

Step2: Apply the power rule of exponents ( \((a^m)^n = a^{m \times n}\) ) to the result.

\((a^{3})^{4} = a^{3 \times 4} = a^{12}\)

Answer:

\(a^{12}\)