simplify each expression to remove the rational exponent

Question

16^1/3

49^1/2

Answer 1

To remove the rational exponent, we need to raise the numbers to the reciprocal of the exponent.

For 16^(1/3):

1/3 is the same as 1/(3/1), which means that the reciprocal is 3/1.

So, 16^(1/3) = 16^(3/1).

For 49^(1/2):

1/2 is the same as 1/(2/1), which means that the reciprocal is 2/1.

So, 49^(1/2) = 49^(2/1).

Therefore, the simplified expressions are:

16^(1/3) = 16^(3/1)

49^(1/2) = 49^(2/1)