# How do you simplify #(3x^-2y^2)/(6xy^2)#?

By signing up, you agree to our Terms of Service and Privacy Policy

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} ).

By signing up, you agree to our Terms of Service and Privacy Policy

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} ]

By signing up, you agree to our Terms of Service and Privacy Policy

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.

- How do you express #1,405,000,000,000# in scientific notation?
- How do you determine if the equation #y = 2.1(0.15)^x# represents exponential growth or decay?
- How do you convert .0000321 into scientific notation?
- How do you write #10^-6# in decimal form?
- How do you write #7/ x^-2 # with positive exponents?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7