# How do you find the value of #125^(-2/3)#?

See the entire solution process below:

Using the exponents rule, we can first rewrite this expression as follows:

Next, we can use the exponents and radicals rule to rewrite the term inside the parenthesis:

Now, finish the evaluation by applying this exponents rule:

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To find the value of (125^{-\frac{2}{3}}), you can use the property of exponents which states that (a^{-n} = \frac{1}{a^n}).

So, (125^{-\frac{2}{3}} = \frac{1}{125^{\frac{2}{3}}}).

Next, you can find the cube root of (125) (which is (5)) and then raise it to the power of (2).

Therefore, (125^{-\frac{2}{3}} = \frac{1}{(5)^2} = \frac{1}{25}).

Hence, the value of (125^{-\frac{2}{3}}) is (\frac{1}{25}).

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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