How do you simplify #(3xy^4)/(9xy)# using only positive exponents?

Answer 1

#y^3/3 " or " 1/3 y^3 #

Using the following#color(blue)" rules of exponents " #
#• a^m/a^n = a^(m-n) #
#(3xy^4)/(9xy) = 3/9xx x/x xxy^4/y^1#
# = 1/3 xx 1 xx y^(4-1)= 1/3 y^3 #
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Answer 2

#y^3/3#

You can separate the numerator and the denominator into three separate terms: #(3 times x times y^4)/(9 times x times y)#
This will help you to divide the terms that are in like terms (such as 3 and 9, the two x's, and #y^4# and y).

Important Key Concepts To Note:

Let's separate the terms and divide: #3/9 times x^1/x^1 times y^4/y^1# #= 1/3 times 1 times y^3# which is the same thing as #y^3/3#
Answer: #= y^3/3#
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Answer 3

To simplify ( \frac{{3xy^4}}{{9xy}} ) using only positive exponents:

  1. Divide the coefficients: ( \frac{{3}}{{9}} = \frac{{1}}{{3}} ).
  2. Divide the variable terms: ( \frac{{x^1}}{{x^1}} = x^{1-1} = x^0 ) and ( \frac{{y^4}}{{y^1}} = y^{4-1} = y^3 ).
  3. Anything raised to the power of zero is 1, so ( x^0 = 1 ).
  4. Simplified expression: ( \frac{{y^3}}{{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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