Part 7: Rational Exponents 3xy 20. 12x?y3

Q: the easiest way to simplify the complex rational expression. (6+(1/x))/(36-(1/x^2))

A: We have to factor denominator first using a^2 - b^2 = (a+b)(a-b) formula. a=6 and b=1/x

Q: Raise the entire rational expression given below to the 3rd power. Then rewrite it without negative…

A: We have to raise the expression to the third power .

Q: What is the concept and idea of rational exponents?

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Q: 3. Express the following in simplest form with positive rational exponents only. a. 144x yz* (81a…

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Q: Part 2: Multiply the rational expression x2-16 2x+10 5. X+5 x +9x+18 2-x 6. x-4 4-x2 x + 6x

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Q: Simplify complex rational expression.

A: Using LCD we simplify the numerator and denominator

Q: - 6 Rationalize the denominator: 6 – V5 - A where В The result can be expressed in the form A = B =

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Q: Consider the expression (3x² + 2/x)10 a) Find a simplified formula for the general term. (separate…

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Q: Simplify the rational expression.

A: Given: 5(x-3)(2x+1)10(x-3)2Description: terminate the common factor both in the numerator and in the…

Q: Simplify complex rational expression.

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Q: e missing numerator that will make the rational expressions equivalent. x + 2 4x2 – 3x – 1 (4x +…

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Q: For Exercises 5-7, simplify the expression. Do not rationalize the denominator. 2r(2r – 7)/2 – x( (2…

A: Since you have posted multiple problems ,we solve only the first one .To get the remaining problems…

Q: The rational expression B are constants. 2x² - 1 (x + 1)² can be written in the form A x+1 + B (x +…

A: First we do partial fraction then reduce into required form then find the value of A and B.

Q: What role does factoring play in the simplifying of rational expressions?

A: to tell the role of factoring play in the simplifying of  rational expression.

Q: 4. Use the quotient rule to find f'(x). Simplify your answer as a single fraction with positive…

A: Use quotient rule

Q: I'm not sure how to solve a problem that involves a negative number and a fractional exponent:…

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Q: 5 Q. Rationalize the denominator of (J2–3)

A: As per the guidelines I can solve only first question

Q: WORKSHEET 4: Rationalize the denominator. 2 +1 √2 √6+2

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Q: Use the properties of rational exponents to simplify the expression. 5 4 3 (a 6 b 3) 4

A: To simplify the expression

Q: Solve the equation involving a Rational Exponent 5. (x – 1)i – 25 = o

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Q: Is 5 rational or not? Justify your answer. 103i i=0 What about ? Justify your answer. 103 i=0

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Q: 18. Simplify the rational expression completely. x+1 (a) х2-2х-3 x2-7x+12 (b) 9-х? 5x+2 (c) 5х-7

A: Given: a)x+1x2-2x-3 b)x2-7x+129-x2 c)5x+55x-7

Q: Activity 5 Simplify the following expressions in Column A to find out the answer of the given trivia…

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Q: 1+ Simplify complex rational expression: x² y²

A: 1x+1y1x2-1y2

Q: Completely simplify the rational expression 7x/3y + 12x/9y. a. 11x/3y b. 75x/3y c. 33x/9y d. 11x/9y

A: Answer

Q: True or false: if the discriminant is -22, the formula cannot be simplified further.

A: We have given the discriminant  D= -22

Q: O D Question 9 What is the remainder when 2x - 3x2 - 5x + 4 is divided by x +2? Question 9 Response…

A: Remainder = -14

Q: Simplify the fractional expression. (Expression like these arise in calculus.)

A: Given  1x+h2-1x2h

Q: Rationalize the denominator, and simplify

A: a) 643 Rationalize the denominator, and simplify 643×4343=643163643×4343=643223643×4343=34323

Q: 1 1 can be simplified using csc x - 1 csc x + 1 as the least common denominator.

A: 1cscx-1-1cscx+1=cscx+1-cscx-1cscx-1cscx+1=2csc2x-1=2cot2x=2tan2x

Q: Simplify the rational expression. x² + 4x + 3 (a) 2x2 – 3x – 2 x+ 1 (b) x + 1 2х - 3 x² - 1 2x + 1 1…

A: (a) Factorise the quadratic equations in numerator and denominator by splitting the middle term and…

Q: 6. Use the model question: Express the reciprocal of 2-5 in simplest radical form with a rational…

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Q: (c) VEVa = (2/2)/² Definition of rational exponents Law 1 = x3/4 Law 3

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Q: Simplify the expression involving rational exponents

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Q: Express the radical as a power with a rational exponent.

A: (a) To express: The radical x56 as power with rational exponent . Formula used: Rational exponent is…

Q: Simplify the rational expression. x² + 2x- 3 x3 + 27 x + 2x- 3 | %3D x° + 27 (Type your answer in…

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Q: Part 4: Add the rational expression. Identify any values that are undefined. x-3 x-2 11. X+4 4. 12.…

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Q: Use the properties of rational exponents to simplify the expression. Write the answer with positive…

A: To simplify it.

Q: 8xy -12x'y in the form 4. Express the final result in a single fraction using positive exponents…

A: It is given that, 8xy2-12x3y-3 in the form of AB. Express the result in a single fraction using…

Q: Add. a a +6a+ 5 а"+ 6а+5 Simplify your answer as much as possible.

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Q: Simplify the expression involving rational exponents

A: Given expression

Q: A complex rational expression is given below. x2 + 4x +3 2x2 +x-15 2x² –x-3 4x2 – 25 Simplify and…

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Q: a The radical expression Va' can be rewritten in the rational exponent form x where the exponent is:

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Q: y = 3(5)x can be written in terms of base e as y = 3e(__).x.

A: To write in terms of base e

Q: Vai=3Y

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Q: I'm reviewing for precalc and I dont understand how to completely factor expressions with rational…

A: 1). Given,

Q: Vx-4 Vx-9

A: See solution below

Q: Express the radical as a power with a rational exponent.

A: Our Aim is to solve the following expressions given below:-(a) 573Solution⇒ Our Aim is to solve the…

Q: Put the fractional expression into standard form by rationalizig the denominator.

A: Given that : a) 15x

Q: Evaluate (3x10^0)/((4.0x10^0)*(1.28x10^2) note your answer is assumes to be reduced to the highest…

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.