Question

Use the rules of exponents to evaluate or simplify. Write without negative exponents. 16^1/2

Answer 1

±4

Explanation:

16 ^ 1/2

Taking the square root of 16

4*4 =16

-4 *-4 =16

16 ^ 1/2 = ±4

Answer 2

`16^{(1)/(2)` = 4.

Explanation:

Given :
`16^{(1)/(2)`.

To find : Write without negative exponents.

Solution : We have given
`16^{(1)/(2)`.

By radical rule :
`(x^(a))^{(1)/(a)\ =\  x^{(a)/(a)}`.

`16^{(1)/(2)` .

`(4^(2))^{(1)/(2)\ =\  4^{(2)/(2)}`.

`(4^(2))^{(1)/(2)\ =\  4`.

Therefore,
`16^{(1)/(2)` = 4.