simplify each expression to remove the rational exponent

Question

27^1/3

16^1/4

Answer 1

To simplify these expressions and remove the rational exponents, we can rewrite them as radical expressions.

For 27^(1/3):

We know that the cube root of a number can be written as a fractional exponent with the denominator being 3. So, 27^(1/3) can be written as the cube root of 27. The cube root of 27 is 3 because 3 * 3 * 3 = 27. Therefore, 27^(1/3) simplifies to 3.

For 16^(1/4):

Similarly, we can rewrite 16^(1/4) as the fourth root of 16. The fourth root of 16 is 2 because 2 * 2 * 2 * 2 = 16. Therefore, 16^(1/4) simplifies to 2.