# A number to the 12th power divided by the same number to the 9th power equals 125. What is the number?

We can simplify the fraction, and we have

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To find the number, let's call it (x), using the given information:

[ \frac{x^{12}}{x^9} = 125 ]

We can simplify this equation by subtracting the exponents:

[ x^{12 - 9} = 125 ]

Simplifying further:

[ x^3 = 125 ]

To find (x), we take the cube root of both sides:

[ \sqrt[3]{x^3} = \sqrt[3]{125} ]

This simplifies to:

[ x = 5 ]

Therefore, the number is (x = 5).

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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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