若x的-2/3次方（x的负三分之二次方）=4,则x=?

Question

若x的-2/3次方（x的负三分之二次方）=4,则x=?

Answer 1

^表示乘方
x^(-2/3)=4
[x^(-2/3)]^(-3/2)=4^(-3/2)
x^[-2/3×(-3/2)]=(2²)^(-3/2)
x=2^[2×(-3/2)]
x=2^(-3)
x=1/(2³)
x=1/8