Multiply terms with fractional exponents (provided they have the same base) by adding together the exponents. For example: Since x 1/3 means “the cube root of x ,” it makes perfect sense that this multiplied by itself twice gives the result x .

When we multiply fractions, we multiply the numerators together, and we multiply the denominators together. Let’s look at an example with variables. When we multiply fractions, we multiply the numerators together, and we multiply the denominators together. Simplify the expression. This is an example of a power of a fraction.

When we divide fractional exponents with the same powers but different bases, we express it as a 1/m ÷ b 1/m = (a÷b) 1/m. Here, we are dividing the bases in the given sequence and writing the common power on it. For example, 9 5/6 ÷ 3 5/6 = (9/3) 5/6, which is equal to 3 5/6. Negative fractional exponents are the same as rational exponents.

Fractional Exponents. But what if the exponent is a fraction? An exponent of 1 2 is actually square root. An exponent of 1 3 is cube root. An exponent of 1 4 is 4th root.