Question

simplify (256)^-(4^-3/2)

Answer 1

Hey there!
Praneeth from Brainly.in here to help!

256^-(4^-3/2)

256^-(1/4^3/2)

256^4^3/2

(2^8)^√(64)

(2^8)^8

2^64

hope helped!

Answer 2

Answer:

(2^8)^-(4^-3/2)

(2^8)^-(2^2)^-3/2 (note here that power of two will get mmultiplied with-3 which is= -6/2=-3)

(2^8)^-(2)^-3 (-3 is negative so we have to make powers positive so it will be represented in fraction..)

(2^8)^-1/2^3

(2^8)^-1/8

(2^-1)=1/2

HERE IS YOUR ANSWER