sam8547 sam8547
  • 21-11-2018
  • Mathematics
contestada

Simplify the radical expression

Simplify the radical expression class=

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nacarter007
nacarter007 nacarter007
  • 21-11-2018

B is the correct answer

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wegnerkolmp2741o
wegnerkolmp2741o wegnerkolmp2741o
  • 21-11-2018

sqrt (x^8 y^18)

(x^8 y^18) ^(1/2)

using the power of powers we multiply the exponents

x^ (8*1/2)  y^ (18*1/2)

x^4 y^9

we have to be careful here because if y<0 this does not hold true

y^18 is positive   y^9 can be negative

so we have to take the absolute value of y

we don't have to do this for x since x^4 is positive and x^8 is positive

x^4 |y|^9

Choice A

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