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  • 20-12-2021
  • Mathematics
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Which expression is equivalent to -9x^-1y^-9/-15x3y-3? Assume x & y ≠ 0

Which expression is equivalent to 9x1y915x3y3 Assume x amp y 0 class=

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reinhard10158
reinhard10158 reinhard10158
  • 21-12-2021

Step-by-step explanation:

when we have multiplications of fractions, we can simply "break" the multiplications apart, simplify every fraction, and then combine the results again.

-9/-15 = 3/5

x^-1/x⁵ = 1/x¹x⁵ = 1/x⁶

y^-9/y^-3 = y³/y⁹ = 1/y⁶

so, when we multiply the 3 fractions again, we get

3/(5x⁶y⁶)

which is the second answer option.

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