Question

answer the following

Answer 1

1. solution :

(81/16)-¾ can be written as (3/2)⁴·-¾

we get (3/2)-³ = -27/-8=27/8.

(25/9)^-3/2 can be written as (5/3)^-3

=(5/3)^-3 = 125/27.

on substituting the values,

=27/8×[125/27÷125/8]

=27/8×27/8

=729/64

2. solution:

³√xy² = (xy²)⅓ = (xy)^⅔

Therefore ,

(xy)^⅔/xy² = x⅔y⅓.

3. Solution:

(5x/5²)(32x/3^-3)=135

(5x/25)(9x/-27)=135

-(5x)(9x)/675= 135

-45x/675= 135

-45x=91125

x= -2025

Hope the answers are correct.

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@Akshaymas.