## anonymous one year ago What value of k solves the equation? k^-4= 1/256 A. –64 B. 8 C. 4 D. 64

1. anonymous

@imqwerty

2. imqwerty

$256=4^4$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