simplify the radical expression square root of 20x^13y^5/5xy^7. The answer choices are: a( sqrt 4x^12/y^2 b( 2x^6/y^2 c( 2 sqrt x^12/y^2 d(

Question

simplify the radical expression square root of 20x^13y^5/5xy^7. The answer choices are: a( sqrt 4x^12/y^2 b( 2x^6/y^2 c( 2 sqrt x^12/y^2 d( 2x^6y

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Hailey 4 days 2021-10-10T21:03:18+00:00 1 Answer 0

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    2021-10-10T21:04:49+00:00

    Answer:

    Option C is correct

    Step-by-step explanation:

    We need to simplify the radical

    \sqrt{\frac{20x^{13}y^5}{5xy^7}}

    We know that a^m/a^n = a^m-n and 20/5 = 4

    Solving

    \sqrt{4x^{13-1}y^{5-7}}\\\sqrt{4x^{12}y^{-2}}\\

    Now, √4 = 2 and a^-m = 1/a^m

    Applying,

    2\sqrt{\frac{x^{12}}{y^2}}\\

    So, Option C 2\sqrt{\frac{x^{12}}{y^2}}\\ is correct.

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27:3+15-4x7+3-1=? ( )