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What is the value of (16^3/2)^1/2?8642564096

User Smok
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1 Answer

20 votes
20 votes

8

1) Evaluating this power:


(16^{(3)/(2)})^{(1)/(2)}

2) Let's first multiply the exponents numerator by numerator, denominator, by denominator:


16^{(3)/(4)}

3) We can rewrite this as the same as the quartic root of 16 raised to 3rd power


\sqrt[4]{16^3}

This is equal to 8

User Jason Walton
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