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Blizzard [7]
3 years ago
13

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

Mathematics
1 answer:
Natalka [10]3 years ago
6 0

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

16^{\frac{1}{4}} = (2^4)^{\frac{1}{4}}

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

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

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