### Home > CCA > Chapter 11 > Lesson 11.3.1 > Problem 11-76

11-76.

Evaluate the expression below when *x* = 27 and *y* = 16. Homework Help ✎

6*x*^{2/3}*y*^{1/4} · *x ^{−}*

^{1}

*y*

^{1/2}

Start by simplifying the expression.

Remember that when you multiply numbers with the same base,

you can add the exponents together.

Substitute the given values for *x* and *y* then simplify.

Fractional exponents represent a power and a root.

The root is determined by the denominator, and the power by the numerator.

For example, the exponent for 16 means the 4th root of 16 raised to the 3rd power.

16