Which of these is equal to 4 (−)4 A.()4 B.(−)4 .−()4 D. (−)4

Question

Which of these is equal to 4 (−)4
A.()4 B.(−)4 .−()4 D. (−)4

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Thiên Hương 6 months 2021-07-25T21:04:00+00:00 1 Answers 3 views 0

Answers ( )

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    2021-07-25T21:05:42+00:00

    Answer:

    (a) x^4 * (-y)^4 = (xy)^4

    Step-by-step explanation:

    Given

    x^4 * (-y)^4

    Required

    Select and equivalent expression

    A.\ (xy)^4     B.\ (-xy)^4   C.\ -(xy)^4    D.\ (x-y)^4

    x^4 * (-y)^4

    Apply law of indices:

    x^4 * (-y)^4 =x^4 * (-y) * (-y) * (-y) * (-y)

    This gives:

    x^4 * (-y)^4 = x^4 * (y) * (y) * (y) * (y)

    x^4 * (-y)^4 =x^4 * y^4

    x and y have the same exponent; So, they can be expressed as:

    x^4 * (-y)^4 = (x*y)^4

    x^4 * (-y)^4 = (xy)^4

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