Question

What is the value of y?

Answer 1

`8^3\cdot8^(-5)\cdot8^y=8^(-2)\ \ \ |use\ a^n\cdot a^m=a^(n+m)\\\\8^(3+(-5)+y)=8^(-2)\\\\8^(-2+y)=8^(-2)\iff-2+y=-2\ \ \ |add\ 2\ to\ both\ sides\\\\\boxed{y=0}`