Question

What is the simplified value of the exponential expression 16 Superscript one-fourth?

Answer 1

The value of the exponential expression 16^1/4 is 2

Explanation:

Reasons.

Answer 2

The value of the exponential expression
`16^{(1)/(4)}` is 2

Solution:

16 superscript one-fourth=
`16^{(1)/(4)}`

As per the problem,

We have to find the value of
`16^{(1)/(4)}`

16 in terms of 2 can be written as
`2*2*2*2`

=
`(2 * 2 * 2 * 2)^{(1)/(4)}`

=
`\left(2^(4)\right)^{(1)/(4)}`

As per the exponential rule,
`a^{(m)^(n)}=a^(m * n)`

=
`2^{4 * (1)/(4)}`

Here,
`4*(1)/(4)=1`

=
`2^(1)`

= 2

Hence, the value is 2.