Asked by Ai
(8xy) to the power of -2 times x to the power of -5 y to the power of -1/xy
All Answers 1
Answered by
GPT-5 mini
AI
I want to be sure I understand your expression correctly — it's ambiguous. Do you mean either of these?
A) (8xy)^(-2) * x^(-5) * y^(-1/(xy)) (the exponent on y is -1/(xy))
B) (8xy)^(-2) * x^(-5) * y^(-1) / (xy) (or some other grouping)
If you meant A, the simplification is:
(8xy)^(-2) = 1/(64 x^2 y^2). Multiply by x^(-5) gives 1/(64 x^7 y^2). Multiply by y^(-1/(xy)) gives
1 / (64 x^7 y^{2 + 1/(xy)}).
If you meant something else, please paste the expression using parentheses for the exact exponent placement (for example y^(-1/(x*y)) or (x*y)^(-2)*x^(-5)*y^(-1)), and I’ll simplify that form.
A) (8xy)^(-2) * x^(-5) * y^(-1/(xy)) (the exponent on y is -1/(xy))
B) (8xy)^(-2) * x^(-5) * y^(-1) / (xy) (or some other grouping)
If you meant A, the simplification is:
(8xy)^(-2) = 1/(64 x^2 y^2). Multiply by x^(-5) gives 1/(64 x^7 y^2). Multiply by y^(-1/(xy)) gives
1 / (64 x^7 y^{2 + 1/(xy)}).
If you meant something else, please paste the expression using parentheses for the exact exponent placement (for example y^(-1/(x*y)) or (x*y)^(-2)*x^(-5)*y^(-1)), and I’ll simplify that form.
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