# How do you simplify #(1/27)^(-2/3)#?

See a solution process below:

Using these rules for exponents we can rewrite the expression as:

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To simplify (1/27)^(-2/3), you can first rewrite it as (27)^(-2/3). Then, applying the property of exponentiation, you raise the base 27 to the exponent -2/3. This results in the reciprocal of the cube root of 27 raised to the power of 2. Therefore, the simplified form is 1/(cube root of 27)^2. Simplifying further, the cube root of 27 is 3, so the final result is 1/9.

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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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