Simplify

125^-1/3

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1/5

Step-by-step explanation: To simplify , let's first deal with the negative in the exponent. means the same thing as .

Now, it's important to understand that if we have an exponent of 1/3, we take the cube root of the base. In other words, means the same thing as the cube root of 125. So we have .

Next, it's important to recognize that 125 is a perfect cube (5 x 5 x 5) or 5³. So the cube root of 125 is 5 and we have 1/5.

Therefore, simplifies to 1/5.

Make sure you know your perfect cubes such as 125. It will make life much easier as you work through these types of problems.

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