Question

if p/q=(3/2)²×(3/2)^-4 find the valueof(p/q)²​

Answer 1

Answer:

(p/q)² = 16/81

Explanation:

Given p/q = (3/2)²×(3/2)^-4

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We know that,

(a/b)^-n = (b/a)ⁿ

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= (3/2)²×(2/3)⁴

= (3² × 2⁴)/(2² × 3⁴)

p/q= 2²/3²

On Squaring both sides,we get

(p/q)² = (2²/3²)²

= 2⁴/3⁴

= 16/81

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Answer 2

Hey!

Refer the below attachment !

Thanks !