Question

Simplify 125^-1/3no spamming

Answer 1

Hi pupil here's your answer ::

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✔Please see the attached answer

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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 $\frac{1}{125^1/3}$.

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.