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2 October, 10:49

What is (4ab^0c^9) ^3?

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  1. 2 October, 11:03
    0
    64a³c²⁷

    Step-by-step explanation:

    The expression inside parentheses can be simplified by noting that b^0 = 1. Then you have ...

    (4ac^9) ^3

    The rules of exponents say the exponent outside applies to each of the inside factors. For c^9, the exponents multiply.

    Here are the applicable rules:

    (ab) ^c = (a^c) (b^c)

    (a^b) ^c = a^ (b·c)

    __

    (4ac^9) ^3 = 4^3·a^3·c^ (9·3) = 64a^3c^27
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