huntermcd7990 huntermcd7990
  • 22-10-2020
  • Mathematics
contestada

Simplify the expression. (x4y2)1/2 A) 2(x4y2) B) x1/8y1/4 C) x2y D) x8y4 Please help!!!

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abidemiokin
abidemiokin abidemiokin
  • 22-10-2020

Answer:

C. [tex]x^2y[/tex]

Step-by-step explanation:

Given the expression [tex](x^4y^2)^{\frac{1}{2} }\\[/tex]

Using the law of indices;

[tex](a^m)^n = a^{mn}[/tex]

[tex](x^4y^2)^{\frac{1}{2} }\\\\= (x^4)^{\frac{1}{2}} (y^2)^{\frac{1}{2} }\\= x^{4*1/2}y^{2*1/2}\\= x^{2}y[/tex]

Hence the correct answer is [tex]x^2y[/tex]

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