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What is the value of y?

What is the value of y?-example-1
User Isaac Adni
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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}
User Anton Harald
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