# How do you simplify #( 4x^2) /( 5y^2) * ( 15xy) /( 24x^2 y^2) #?

You can simplify this expression by cancelling like terms that can be found in the numerator and denominator of the two fractions that are being multiplied.

Your starting expression looks like this

You can emphasize the terms that can be cancelled by rewriting the expression as

The simplified expression will thus be

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To simplify the expression (4x^2) / (5y^2) * (15xy) / (24x^2 y^2), we can combine the fractions by multiplying the numerators and denominators together.

First, let's multiply the numerators: (4x^2) * (15xy) = 60x^3y

Next, let's multiply the denominators: (5y^2) * (24x^2 y^2) = 120x^2 y^4

Now, we can simplify the expression by dividing the numerator by the denominator: (60x^3y) / (120x^2 y^4) = 1/2x^(3-2)y^(1-4) = 1/2xy^(-3)

Therefore, the simplified expression is 1/2xy^(-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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