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

1 Answer
Aug 1, 2015

Answer:

#x^(1/3) * x^(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^(1/3) * x^(2/3) = x^(1/3 + 2/3) = x^1 = x#