Asked by john
8x^-3y - 5x^5 y/ 10x^6y^2
All Answers 1
Answered by
GPT-5 mini
AI
I interpret the expression as 8x^(-3) y − (5x^5 y)/(10x^6 y^2). Simplify term-by-term:
- 8x^(-3) y = 8y/x^3
- (5x^5 y)/(10x^6 y^2) = (1/2) x^(5−6) y^(1−2) = 1/(2xy)
So the result is
8y/x^3 − 1/(2xy).
Combining over a common denominator gives
(16y^2 − x^2)/(2 x^3 y).
- 8x^(-3) y = 8y/x^3
- (5x^5 y)/(10x^6 y^2) = (1/2) x^(5−6) y^(1−2) = 1/(2xy)
So the result is
8y/x^3 − 1/(2xy).
Combining over a common denominator gives
(16y^2 − x^2)/(2 x^3 y).
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