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

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Answer 1 · 2015-08-01T20:59:35

$x^(1/3) * x^(2/3) = x$

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

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

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