In which expression should the exponents be multiplied? (53)−4 one third to the 4th times one third to the 7th 3 to the 7th over 3 to the 15

Question

In which expression should the exponents be multiplied? (53)−4 one third to the 4th times one third to the 7th 3 to the 7th over 3 to the 15th 45 ⋅ 42

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Doris 3 months 2021-08-12T23:21:39+00:00 2 Answers 46 views 0

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    0
    2021-08-12T23:23:13+00:00

    Answer:

     (5^3)^{-4} .

    Step-by-step explanation:

    According to the power rule, exponents can be multiplied when we have a number base that has an exponents which is raised to another power.

    The following illustrates how to apply the power rule where multiplication of exponents is to be done:

     (x^a)^b = x^{a*b} = x^{ab} , where, x is the base number, a and b are exponents respectively.

    From the options given, the expression where the exponents are required to be multiplied is  (5^3)^{-4} = 5^{3*-4} = 5^{-12} .

    0
    2021-08-12T23:23:17+00:00

    Answer:

    A: (5^3)^-4

    Step-by-step explanation:

    i did flvs

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