Which shows the following expression after the negative exponents have been eliminated? a^3b^-2/ab^-4 Assume a can’t equal 0

Question

Which shows the following expression after the negative exponents have been eliminated?
a^3b^-2/ab^-4
Assume a can’t equal 0 and b can’t equal 0

in progress 0
2022-05-21T12:03:06+00:00 2 Answers 0

Answers ( 2 )

  1. Charlie
    0
    2022-05-21T12:04:45+00:00

    Equivalent expressions are expressions of equal values.

    The equivalent expression is [tex]mathbf{a^{2}b^{2}}[/tex]

    The expression is given as:

    [tex]mathbf{frac{a^3b^{-2}}{ab^{-4}}}[/tex]

    Apply law of indices

    [tex]mathbf{frac{a^3b^{-2}}{ab^{-4}} = a^{3-1}b^{-2–4}}[/tex]

    Rewrite as:

    [tex]mathbf{frac{a^3b^{-2}}{ab^{-4}} = a^{3-1}b^{-2+4}}[/tex]

    So, we have:

    [tex]mathbf{frac{a^3b^{-2}}{ab^{-4}} = a^{2}b^{2}}[/tex]

    Hence, the equivalent expression is [tex]mathbf{a^{2}b^{2}}[/tex]

    Read more equivalent expressions at:

    https://brainly.com/question/15715866

  2. Caroline
    0
    2022-05-21T12:05:01+00:00

    Answer:

    The given expression [tex]frac{a^3}{ab^{-4}}[/tex] after the negative exponents have been eliminated becomes [tex]frac{a^3b^{4}}{ab^{2}}[/tex]

    Step-by-step explanation:

    Given expression [tex]frac{a^3b^{-2}}{ab^{-4}}[/tex]

    We have to write expression after the negative exponents have been eliminated and a u2260 0 and b u2260 0.

    Consider the given expression [tex]frac{a^3b^{-2}}{ab^{-4}}[/tex]

    We have to eliminate the negative exponents,

    Using property of exponents, [tex]x^{-m}=frac{1}{x^m}[/tex] we have ,

    [tex]b^{-2}=frac{1}{b^2} b^{-4}=frac{1}{b^4}[/tex]

    Substitute, we get,

    [tex]frac{a^3}{ab^{-4}}[/tex] becomes [tex]frac{a^3b^{4}}{ab^{2}}[/tex]

    Thus, the given expression [tex]frac{a^3}{ab^{-4}}[/tex] after the negative exponents have been eliminated becomes [tex]frac{a^3b^{4}}{ab^{2}}[/tex]

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