Question

question 21 (mandatory) (1 point) write 8^(-6)×8^(3) as a single power. a) 8^(-9) b) 8^(3) c) 8^(9) d) 8^(-3)

Explanation:

Step1: Recall exponent - product rule

When multiplying two powers with the same base \(a^m\times a^n=a^{m + n}\), here \(a = 8\), \(m=-6\) and \(n = 3\).
\[8^{-6}\times8^{3}=8^{-6 + 3}\]

Step2: Calculate the exponent

\(-6+3=-3\), so \(8^{-6 + 3}=8^{-3}\)

Answer:

d) \(8^{-3}\)