# How do you simplify #((5n^4)/(p^3))/((6n)/(5p))#?

See the entire simplification process below:

First, simplify the division by using the rule for dividing fractions:

We can now use these rules for exponents to further simplify this expression:

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To simplify ((5n^4)/(p^3))/((6n)/(5p)), you can multiply the numerator and denominator of the first fraction by the reciprocal of the second fraction. This gives you (5n^4 * 5p) / (p^3 * 6n). Simplifying further, you get (25n^4p) / (6n * p^3). Now, cancel out the common factors between the numerator and denominator, which are n and p. This leaves you with 25n^3 / 6p^2 as the simplified form of the expression.

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To simplify the expression (\frac{\frac{5n^4}{p^3}}{\frac{6n}{5p}}), we can simplify the numerator and denominator separately before dividing:

For the numerator: (\frac{5n^4}{p^3})

For the denominator: (\frac{6n}{5p})

Now, let's simplify each part:

Numerator: (\frac{5n^4}{p^3})

Denominator: (\frac{6n}{5p})

Now, let's divide the numerator by the denominator:

(\frac{\frac{5n^4}{p^3}}{\frac{6n}{5p}} = \frac{5n^4}{p^3} \times \frac{5p}{6n})

Simplify the expression by canceling out common factors:

(\frac{5n^4 \times 5p}{p^3 \times 6n} = \frac{25n^4p}{6p^3})

Finally, we simplify further by canceling out (p) from the numerator and denominator:

(\frac{25n^4}{6p^2})

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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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