write an equivalent expression with postive exponets only x {}^{4} y {}^{-2} A. [tex] \frac{x {}^{4} }{y {

Question

write an equivalent expression with postive exponets only
x {}^{4} y {}^{-2}

A.
 \frac{x {}^{4} }{y {}^{2} }
B.
xy {}^{2}
C.
 \frac{1}{x {}^{4}y {}^{2} }
D.
(xy) {}^{2}

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Ruby 2 days 2021-10-12T11:33:08+00:00 2 Answers 0

Answers ( )

    0
    2021-10-12T11:34:31+00:00

    The answer is choice A

    0
    2021-10-12T11:34:49+00:00

    Answer: Choice A

    \frac{x^4}{y^2}

    x^4 over y^2

    =========================================================

    Explanation:

    The negative exponent is effectively an indication to apply the reciprocal. This is because of the general rule that

    x^{-k} = \frac{1}{x^k}

    So this means

    y^{-2} = \frac{1}{y^2}

    and furthermore

    x^4y^{-2} = x^4*\frac{1}{y^2} = \frac{x^4}{y^2}

    which is why choice A is the answer

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