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What is the simplified value of the exponential expression 16^1\4

1 Answer

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If you observe that
16 = 2^4, you can rewrite the expression as


16^{(1)/(4)} = (2^4)^{(1)/(4)}

Now, if you use the exponent rule
(a^b)^c = a^(bc), you may rewrite the expression again:


(2^4)^{(1)/(4)} = 2^{4\cdot(1)/(4)} = 2^1 = 2

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