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Which of the following is equivalent to (16^3/2)^1/2

Which of the following is equivalent to (16^3/2)^1/2-example-1

2 Answers

4 votes
16 ^ 1.5 (or 3/2) = 64
64 ^ 0.5 (or 1/2) = 8
8 should be your answer
User Fela
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7.9k points
5 votes

Answer: 8 is the equivalent to the given expression.

Step-by-step explanation:Here, the given expression is
(16^(3/2))^(1/2)

Since, we can write,
(16^(3/2))^(1/2)= 16^(3/4)


(16^(3/2))^(1/2)= (16^(1/4))^3


(16^(3/2))^(1/2)= ((2^4)^(1/4))^3


(16^(3/2))^(1/2)= 2^3=8 (Because
(a^m)^n=a^(mn))

User Pavel Zubkou
by
7.9k points

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