Question

What is the value of x in this simplified expression? (-j)^-7=1/(-j)^x

Answer 1

`x=7\\\\\text{because}\\\\a^(-n)=(1)/(a^n);\ a\\eq0\\\\(-j)^(-7)=(1)/((-j)^7)`

`\text{Minus in a power means inverse.}`

`a^(-1)=(1)/(a)\\\\(-j)^(-7)=(-j)^(7\cdot(-1))=\left[(-j)^7\right]^(-1)=(1)/((-j)^7)\\\\\text{Used:}\\\\(a^n)^m=a^(n\cdot m)`