Question

find the value of x y whole square is 49 - whole cube into 2 upon 3 minus whole square is equal to X ki power minus 8​

Answer 1

Answer: 4/9

Step-by-step explanation:

Given data:

[4/9]⁻³ * [2/3]⁻² = [x/y]⁻⁸

To find: The value of (x/y)²

Solution:

Solving for the L.H.S.

= [4/9]⁻³ * [2/3]⁻²

= [1/(4/9)³] * [1/(2/3)²]

= [9/4]³ * [3/2]²

= [729/64] * [9/4]

= [3*3*3*3*3*3*3*3] / [2*2*2*2*2*2*2*2]

= [3/2]⁸

= [2/3]⁻⁸

Equating L.H.S & R.H.S, we get

[2/3]⁻⁸ =  [x/y]⁻⁸

⇒ x/y = 2/3

Thus,  

[x/y]²

= [2/3]²

= 4/9