Question

1. vocabulary identify the property that is being applied at each step to simplify the expression. 4^{-5}cdot(4cdot9)^{5}cdot9^{-3}=4^{-5}cdot(4^{5}cdot9^{5})cdot9^{-3}

Explanation:

Step1: Expand the power of a product

The power - of - a - product property states that \((ab)^n=a^n\cdot b^n\). Here, since \((4\cdot9)^5\), by the power - of - a - product property, \((4\cdot9)^5 = 4^5\cdot9^5\).

Answer:

Power - of - a - product property