4.2x2-1.2x6-0.018x5 divided by -6x4 =?
18y3-5y12-7y11 divided by 3/2y =?
-1.2X^6 - 0.018X^5 + 4.2X^2.
6X^2(-0.2X^4 -0.003X^3 +0.7)
Oops!! I missed a part of the problem
during my 1st response.
(-1.2X^6 -0.018X^5 +4.2X^2) / -6X^4
Divide each term by -6X^4:
2X^2 0.003X -0.7/X^2.
Remember to subtract the exponents when dividing.
The last term of the answer had a
negative exponent. So it was moved to the
denominator as a positive exponent
(18Y^3 -5Y^12 -7Y^11)/(3/2)Y.
Arrange exponents in decreasing order:
-5Y^12 - 7Y^
(-1.2X^6 - 0.018X^5 +4.2X^2)/-6X^4
Divide each term by -6X^4:
2X^2 + 0.003X - 0.7/X^2
(18Y^3 - 5Y^12 - 7Y^11)/(3/2)Y.
Arrange exponents in decreasing order:
(-5y^12 - 7y^11 + 18y^3)/(3/2)Y
Divide each term by y:
(-5Y^11 -7Y^10 + 18Y^2)/(3/2).
Multiply denominator and numerator
by 2/3:
2/3(-5Y^11 -7Y^^10 + 18Y^2.
Factor out Y^2:
(2/3)Y^2(-5Y^9 -7Y^8 + 18)
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To simplify the first expression, let's break it down step by step:
1. Start by distributing the division sign evenly to each term within the expression, resulting in:
(4.2x^2 - 1.2x^6 - 0.018x^5) / (-6x^4)
2. To divide the terms, you can apply the quotient rule of exponents. According to the rule, when dividing variables with the same base, you subtract their exponents:
4.2x^(2-4) - 1.2x^(6-4) - 0.018x^(5-4) / -6
3. Simplifying the exponents in the equation above, we now have:
4.2x^(-2) - 1.2x^2 - 0.018x - 6
Therefore, the simplified expression is 4.2x^(-2) - 1.2x^2 - 0.018x - 6.
Now let's simplify the second expression:
1. To divide the terms, we need to apply the division rule for exponents, which states that when dividing variables with the same base, you subtract their exponents. Additionally, we need to divide the coefficients:
(18y^3 - 5y^12 - 7y^11) / (3/2y)
2. Simplifying the equation above, we divide each term by (3/2y) to get
(18y^3 / (3/2y)) - (5y^12 / (3/2y)) - (7y^11 / (3/2y))
3. To divide by a fraction, you can multiply by its reciprocal:
((18y^3) * (2y/3)) - ((5y^12) * (2y/3)) - ((7y^11) * (2y/3))
4. Simplifying further, we get:
(36y^4 / 3) - (10y^13 / 3) - (14y^12 / 3)
Thus, the simplified expression is (36y^4 / 3) - (10y^13 / 3) - (14y^12 / 3).