Question

What is the simplified value of the exponent expression 16^1/4

Answer 1

Answer: 2

Justitification:

1) Property: 

$a^{(1/b)} = \sqrt[b]{a}$

Therefore:

$16^{1/4}= \sqrt[4]{16}$

2) 16 = 2⁴

3) Property

$\sqrt[n]{a^n} =a^{n/n}=a$

Therefore:

$\sqrt[4]{2^4} =2^{4/4}=2$