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:
[tex]a^n * a^m = a^{n+m}\\(a^n)^m = a^{n*m}[/tex]
