# How do you simplify #(x+3)^2/(x+3)^3#?

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We possess that

#(x+3)^2/(x+3)^3=(x+3)^2/[(x+3)^2*(x+3)]= cancel((x+3)^2)/[cancel((x+3)^2)*(x+3)]=1/(x+3)#

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Observe that the bases are the same. The bases need only be the SAME, regardless of how basic or complex they are.

Conversely, by deducting the indices:

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To simplify (x+3)^2/(x+3)^3, you can use the properties of exponents. Since the bases are the same, you can subtract the exponents in the denominator from the exponents in the numerator.

(x+3)^2/(x+3)^3 = (x+3)^(2-3) = (x+3)^(-1)

So, (x+3)^2/(x+3)^3 simplifies to 1/(x+3).

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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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