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

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)

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