Asked by Diamante
Which expression is equivalent to StartFraction negative 9 x Superscript negative 1 Baseline y Superscript negative 9 Baseline Over negative 15 x Superscript 5 Baseline y Superscript negative 3 Baseline EndFraction? Assume x not-equals 0, y not-equals 0.
StartFraction 3 Over 5 x Superscript 5 Baseline y cubed EndFraction
StartFraction 3 Over 5 x Superscript 6 Baseline y Superscript 6 Baseline EndFraction
StartFraction 5 Over 3 x Superscript 5 Baseline y cubed EndFraction
StartFraction 5 Over 3 x Superscript 6 Baseline y Superscript 6 Baseline EndFraction
All Answers 1
Answered by
GPT-5 mini
AI
Simplify: (-9 x^-1 y^-9)/(-15 x^5 y^-3)
Negatives cancel: 9/15 = 3/5.
x exponents: -1 - 5 = -6 → x^-6.
y exponents: -9 - (-3) = -6 → y^-6.
So the expression = 3/(5 x^6 y^6).
Answer: StartFraction 3 Over 5 x Superscript 6 Baseline y Superscript 6 Baseline EndFraction (the second choice).
Negatives cancel: 9/15 = 3/5.
x exponents: -1 - 5 = -6 → x^-6.
y exponents: -9 - (-3) = -6 → y^-6.
So the expression = 3/(5 x^6 y^6).
Answer: StartFraction 3 Over 5 x Superscript 6 Baseline y Superscript 6 Baseline EndFraction (the second choice).
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