Question

if p/q = (2/5)^4 ÷ (2/5)^2 find the value of (p/q)^-3​

Answer 1

Answer:

p/q=(2/5)²

(p/q)-³=((2/5)²)-³

=(2/5)^-6

Answer 2

GIVEN :-

★ p/q = (2/5)⁴ ÷ (2/5)².

TO FIND :-

★ The value of (p/q)⁻³.

SOLUTION :-

According to question we have,

⇒ p/q = (2/5)⁴ ÷ (2/5)².

Now,

⇒(p/q)⁻³ = [(2/5)⁴ ÷ (2/5)²]⁻³

⇒(p/q)⁻³ = [(16/625) ÷ (4/25)]⁻³

⇒(p/q)⁻³ = [(16/625) × (25/4)]⁻³

⇒(p/q)⁻³ = (4/25)⁻³

⇒(p/q)⁻³ = (64/15625)⁻1

By using the identity :- a⁻ⁿ = 1/aⁿ.

⇒(p/q)⁻³ = 15625/64.

Hence the required value of (p/q)⁻³ is 15625/64.