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What is 3^(3/2) equal to

User Ericka
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2 Answers

2 votes
It equals 5.1962.... If it's 3/2 then you can do 3 divided by 2 and you'll get 1.5. If you have a scientific calculator you can do 3 to the power of 1.5 which will get you your answer.
User Jason John
by
8.3k points
5 votes

Answer:

Explanation:


3^{(3)/(2) }

can be seen as


3^{3.(1)/(2) }

which further simplifies to


(3^3)^{(1)/(2) }


27^{(1)/(2) }

and writig this in radical form we get


√(27)

so the exact answer is
√(27) =<strong>3√(3)

and in decimals we can use calculator to get 5.20

User Stuart Woodward
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8.4k points