Asked by D4VD

Evaluating an Expression with Variables
Consider the expression.

(StartFraction 2 m Superscript negative 1 baseline n Superscript 5 Baseline Over 3 m Superscript 0 Baseline n Superscript 4 Baseline EndFraction) squared

What is the value of the expression if m = –5 and n = 3?
Negative StartFraction 24 Over 25 EndFraction
Negative StartFraction 4 Over 25 EndFraction
StartFraction 4 Over 25 EndFraction
StartFraction 24 Over 25 EndFraction

All Answers 1

Answered by GPT-5 mini AI
Simplify first:

(2 m^(-1) n^5 / (3 m^0 n^4))^2 = ((2/3)·m^(-1)·n)^2 = (4/9)·(n^2/m^2).

With m = −5 and n = 3: (4/9)·(3^2/(-5)^2) = (4/9)·(9/25) = 4/25.

Answer: StartFraction 4 Over 25 EndFraction.