6
practice testMultiple Choice

Practice Test

Question 6 • Algebra 2 with Probability

What is the simplified form of the following expression? 4th root of 16 x to the 8th power y to the 12th power z to the 4th power

Answer
A
2 x squared start absolute value y cubed z end absolute value
B
2 x to the 4th power y to the 8th power
C
4 x to the 4th power y to the 8th power
D
4 x squared start absolute value y cubed z end absolute value

Explanation

Take the fourth root of each factor: the fourth root of 16 is 2, of x⁸ is x², and of y¹²z⁴ is |y³z|. The absolute value is needed because an even root must be nonnegative, so the simplified form is 2x²|y³z|, choice A.

AI-written and checked against the verified answer.

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