How do you simplify #(3xy^4)/(2x^5y) *( 6x^-3y^2)/(4y)#?

Answer 1

#(9y^4)/(4x^7)#

remember:

#a^b * a^c = a^(b+c)#

work

#(3xy^4)/(2x^5y) * (6x^-3y^2)/(4y)#

Simplify by dividing out factors in the top and bottom

#(3y^3)/(2x^4) * (3x^-3y)/(2)#
Now change the #x^-3# into #1/x^3# and bring it into the denominator since anything to a negative power is one over that number to the positive exponent
#(3y^3)/(2x^4) * (3y)/(2x^3)#

Now we can multiply

#(3y^3times3y)/(2x^4times2x^3)#

And simplify

#(9y^4)/(4x^7)#
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Answer 2

To simplify the expression ( \frac{{3xy^4}}{{2x^5y}} \times \frac{{6x^{-3}y^2}}{{4y}} ), follow these steps:

  1. Combine the numerators: ( (3xy^4) \times (6x^{-3}y^2) ).
  2. Combine the denominators: ( (2x^5y) \times (4y) ).
  3. Simplify each part separately by multiplying like terms.
  4. Divide the simplified numerator by the simplified denominator to get the final answer.

Simplified expression: ( \frac{{9}}{{4x^3}} ).

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Answer from HIX Tutor

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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