How do you simplify #(y^4/x^2)/((xy^2)/(2x^2))#?
To divide by a fraction is the same as multiplying by its reciprocal.
However if you compare this result to the original fraction you will see that we can simplify a complex fraction immediately:
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To simplify the expression (y^4/x^2)/((xy^2)/(2x^2)), we can follow these steps:
- Invert the divisor and multiply: (y^4/x^2) * (2x^2/(xy^2))
- Simplify the numerator: y^4 * 2x^2 = 2x^2y^4
- Simplify the denominator: x^2 * xy^2 = x^3y^2
- Divide the numerator by the denominator: (2x^2y^4) / (x^3y^2)
- Simplify the expression by subtracting the exponents: 2x^(2-3)y^(4-2) = 2xy^2/x
Therefore, the simplified form of (y^4/x^2)/((xy^2)/(2x^2)) is 2xy^2/x.
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To simplify the expression (\frac{y^4/x^2}{\frac{xy^2}{2x^2}}), we follow these steps:
-
Rewrite the expression as a division problem by multiplying by the reciprocal of the denominator: (\frac{y^4}{x^2} \times \frac{2x^2}{xy^2})
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Simplify each term in the expression: (\frac{y^4 \times 2x^2}{x^2 \times xy^2})
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Cancel out common factors between the numerator and denominator: (\frac{2y^4x^2}{x^3y^2})
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Reduce the expression by canceling out common factors: (\frac{2y^2}{x})
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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.
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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