Which is the simplified form of the expression (StartFraction (x Superscript negative 3 Baseline) (y squared) Over (x Superscript 4 Baseline

Question

Which is the simplified form of the expression (StartFraction (x Superscript negative 3 Baseline) (y squared) Over (x Superscript 4 Baseline) (y superscript 6 Baseline) EndFraction) cubed?

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Skylar 2 weeks 2021-11-22T05:21:59+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-11-22T05:23:22+00:00

    B) 1/x^21 y^12

    I just took the quiz on edge

    0
    2021-11-22T05:23:24+00:00

    Answer:

    The simplified form of the expression is \frac{1}{x^{7} y^{4}}.

    Step-by-step explanation:

    The expression is:

    \frac{x^{-3}\cdot y^{2}}{x^{4}\cdot y^{6}}

    The division rule of exponents is:

    a^{m}\div a^{n}=a^{m-n}

    The negative exponent rule is:

    a^{-m}=\frac{1}{a^{m}}

    Simplify the expression as follows:

    \frac{x^{-3}\cdot y^{2}}{x^{4}\cdot y^{6}}=[x^{-3-4}]\times [y^{2-6}]

             =x^{-7}\times y^{-4}\\\\=\frac{1}{x^{7} y^{4}}

    Thus, the simplified form of the expression is \frac{1}{x^{7} y^{4}}.

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45:7+7-4:2-5:5*4+35:2 =? ( )