Question

if a/b = 2^x/4^y where x=2y=8 then the equivalent rational number to (a/b)^100​

Answer 1

Answer:

(a/b) = 2^x ÷ 4^y

x=2y=8

x=8

2y=8

y=4

therefore,

(a/b) = 2⁸/4⁴

(a/b) = 256/256

(a/b) = 1

(a/b)¹⁰⁰ = (1)¹⁰⁰

(a/b)¹⁰⁰ = 1