Question

Simplify

125^-1/3

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Answer 1

Hi pupil here's your answer ::

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✔Please see the attached answer

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hope that it helps. . . . .

Answer 2

Answer: 1/5

Step-by-step explanation: To simplify
`125^(-1/3)`, let's first deal with the negative in the exponent.
`125^(-1/3)` means the same thing as
`(1)/(125^1/3)`.

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,
`125^(1/3)` means the same thing as the cube root of 125. So we have
`\frac{1}{\sqrt[3]{125}}`.

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,
`125^(-1/3)` 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.