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Simplify the expression. (81x^12/3x^3)1/3 Enter your answer in the box.

2 Answers

6 votes
3x^3 is the right answer
User Purohit Hitesh
by
8.0k points
3 votes

Answer:

3 x^3

Explanation:

(81x^12/3x^3)^1/3

First step is to simplify inside the parenthesis

(81/3 * x^12/x^3) ^ 1/3

When we divide bases with the same exponent, we subtract the exponents

(27 x^(12-3) ^ 1/3

(27x^9) ^ 1/3

27 ^ 1/3 x^9 ^1/3

Power to the power rule says multiply

27 ^ 1/3 x^9 *1/3

27^1/3 x^3

3 x^3


User Massives
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9.3k points

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