Question

If 27 × 32 = 3^ x × 2 ^ y ; find the values of x and y

Answer 1

Answer:

x = 3 and y = 4

Step-by-step explanation:

We know that,

27 = 3 × 3 × 3 = 3³...(1)

32 = 2 × 2 × 2 × 2 × 2 = 2⁴...(2)

Given :

27 × 32 = 3^x × 2^y

» 3³ × 2⁴ = 3^x × 2^y

Comparing both sides ,

» x = 3 and y = 4