Question

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

Answer 1

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:

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