Question

by what number should (-5)² be divided to give the quotient as (15)-⁴​

Answer 1

Answer:

Let's assume the number as x

According to Question,

(5 / 4)⁻³ ÷ x = (15 / 16)⁻²

⇒ (4 / 5)³ = (16 / 15)² × x

⇒ (4)³ / (5)³ = (16)² / (15)² × x

⇒ 64 / 125 = 256 / 225 × x

⇒ 64 / 125 × 225 / 256 = x

⇒ 1 / 5 × 9 / 4 = x

⇒ 9 / 20 = x

⇒ 0.45 ≈ x

Hence, the number is ( 9 / 20 )

Some things to know »

(a / b)⁻¹ = (b / a)¹