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

Question

asked Jan 18, 2019 78.6k views

1 Answer

Rumin · Answer 1 · 2019-01-24T21:59:22+0000

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:

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