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22 October, 23:31

Select the equivalent expression.

(a^5 * 2^3) ^3 = ?

1. a^8*2^9

2. a^15*2^6

3. a^8*2^6

3. a^15*2^9

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Answers (2)
  1. 22 October, 23:42
    0
    a^15 * 2^9

    Step-by-step explanation:

    (a^5 * 2^3) ^3 =

    = (a^5) ^3 * (2^3) ^3

    = a^ (5 * 3) * 2^ (3 * 3)

    = a^15 * 2^9

    Answer: the second choice 3.
  2. 22 October, 23:59
    0
    3. a^15*2^9

    Step-by-step explanation:

    We know that (a * b) ^c = a^c * b^c

    (a^5 * 2^3) ^3

    a^5^3 * 2^3^3

    And we know that a^b^c = a^ (b*c)

    a^ (5*3) * 2^ (3*3)

    a^15 * 2^9
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