# How do you simplify #a^5/(b^3c^3) div a^4/(b^3c^4)#?

You cancel terms common to the numerator and denominator.

Your expression can be written as

Use the product of powers property of exponents to rewrite the numerators of the two fractions as

Your expression will become

Cancel the terms common to the numerator and denominator to get

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To simplify the expression (a^5/(b^3c^3)) ÷ (a^4/(b^3c^4)), we can use the division rule of exponents. When dividing two terms with the same base, we subtract the exponents.

In this case, the base is 'a', and the exponents are 5 and 4. Subtracting 4 from 5 gives us a^1.

For the variable 'b', the exponents are both 3, so we subtract 3 from 3, resulting in b^0. Any term with an exponent of 0 is equal to 1.

Lastly, for the variable 'c', we subtract 3 from 4, giving us c^1.

Therefore, the simplified expression is a^1/(b^0c^1), which can be further simplified to a/(c).

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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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