Question

Rewrite each expression as a product of two powers

Answer 1

Answer:

2²⁴ * 5¹⁴

Step-by-step explanation:

Given: 5⁵(16² * 5³)³

It is required to rewrite the expression as a product of two powers:

So,

16² = (2⁴)² = 2⁸

So, 5⁵(16² * 5³)³

= 5⁵(2⁸ * 5³)³

= 5⁵ * (2⁸)³ * (5³)³

= 5⁵ * 2²⁴ * 5⁹

= 2²⁴ * 5¹⁴

We have used the following rules:

$a^n * a^m = a^{n+m}\\(a^n)^m = a^{n*m}$