How do you simplify #(3x^-2y^2)/(6xy^2)#?
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To simplify ( \frac{3x^{-2}y^2}{6xy^2} ), follow these steps:
- Combine the constants: ( \frac{3}{6} = \frac{1}{2} ).
- Combine the variables with the same base by subtracting their exponents: ( x^{-2} ) in the numerator and ( x^1 ) in the denominator, resulting in ( x^{-2-1} = x^{-3} ).
- Combine the variables ( y^2 ) in the numerator and ( y^2 ) in the denominator, resulting in ( y^{2-2} = y^0 = 1 ).
- The simplified expression is ( \frac{1}{2x^3} ).
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To simplify (\frac{3x^{-2}y^2}{6xy^2}), first combine like terms in the numerator and denominator. Then, simplify the expression by canceling out common factors between the numerator and denominator.
[ \frac{3x^{-2}y^2}{6xy^2} = \frac{3}{6} \cdot \frac{x^{-2}y^2}{xy^2} = \frac{1}{2} \cdot \frac{x^{-2}}{x} = \frac{1}{2} \cdot x^{-2-1} = \frac{1}{2}x^{-3} = \frac{1}{2x^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.
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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