Question

What value of k solves the equation?
k^-4= 1/256


A.
–64

B.
8

C.
4

D.
64

Answer 1

@imqwerty

Answer 2

\[256=4^4\]and\[\frac{ 1 }{ 256 }=\frac{ 1 }{ 4^4 }=4^\left( -4 \right)\]but we are given that\[k^\left( -4 \right)=\frac{ 1 }{ 256 }\]and \[\frac{ 1 }{ 256 }=4^\left( -4 \right)\]so\[k^\left( -4 \right)=4^\left( -4 \right)\]comparing u get k=4