# How do you use laws of exponents to simplify x^(1/3)*x^(2/3)?

Aug 1, 2015

#### Answer:

${x}^{\frac{1}{3}} \cdot {x}^{\frac{2}{3}} = x$

#### Explanation:

You can simplify this expression by using the product of powers property of exponents, which tells you that

color(blue)(x^a * x^b = x^(a+b)

This means that the final exponent of $x$ will be equal to the sum of the two exponents belonging to the multiplied terms.

In your case, you have

${x}^{\frac{1}{3}} \cdot {x}^{\frac{2}{3}} = {x}^{\frac{1}{3} + \frac{2}{3}} = {x}^{1} = x$