Question

multiply & divide powers (integer exponents
google classroom microsoft teams
simplify.
rewrite the expression in the form 4ⁿ.
(4⁶)(4⁻⁸) =

Explanation:

Step1: Recall exponent rule for multiplication

When multiplying powers with the same base, we add the exponents: \(a^m \cdot a^n = a^{m + n}\). Here, the base \(a = 4\), \(m = 6\), and \(n=-8\).

Step2: Apply the rule

So, \((4^{6})(4^{-8}) = 4^{6 + (-8)}\). Calculate the exponent: \(6+(-8)=6 - 8=-2\). Thus, the expression simplifies to \(4^{-2}\).

Answer:

\(4^{-2}\)