Question

10) By which number should (1/9)^-2 be multiplied to get (⅜)^-4 as product ?

Answer 1

( 3 / 8 ) ^ - 4 ÷ ( 1 / 9 ) ^ - 2

( 8 / 3 ) ^ 4 ÷ ( 9 ) ^ 2

( 8 / 3 ) ^ 4 ÷ ( 3 ) ^ 4

{ ( 8 / 3 ) ÷ 3 } ^ 4

( 8 / 9 ) ^ 4

( 9 / 8 ) ^ - 4

Ans. ( 1 / 9 ) ^ - 2 should be multiplied by ( 9 / 8 ) ^ - 4 to get ( 3 / 8 ) ^ - 4 as product.

Answer 2

Answer:

(1/9)^-2= 9²/1²

=81

(3/8)^-4=(8/3)⁴= (4096/81)

Let the no. be x

so (1/9)^-2 × x = (3/8)^-4

= 81x = (4096/81)

x = 4096

81×81

x = 4096. is your answer

6561