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`