3. Express the following in simplest form with positive rational exponents only. a. 144x yz* (81a b-5y b. ab #7,8 #7,8

Q: Simplify by expanding: (x– 2y)² - (x+ 2y)² O A. x² + 4xy+ 4 y² В. -8ху OC. 2x²+8y² O D. 8xy O E. -2x…

A: We have to simplify

Q: 2. 118 2. k 1. Find the least common denominators of 1 3 1. 2 4 3. 5. TCD (T 4. x-3 -- 2. 2. e…

A: #1) Denominators are 2 and 4.  Least common multiple of 2 and 4= 4 So the least common denominator=4…

Q: If x^2 + y^2 =14 and x+y=6, find xy. Note: x^2 means "x raised to the second power"

A:

Q: Rationalize the denominator. As 4 1 15.3 125xy 4 %3D 125x 153

A:

Q: Use any method to simplify the.complex fraction. 25z°x5 49 2 6 175x z° 21

A:

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

A: Explanation: Given that,  a. 73 Concept used: axn=(ax)1n

Q: de 1. x(In 4x-1)

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 14 EP A is a 2 x2 with 2 X2 det (3 A) = 72, > Frad det (2 de (A") A (AT)

A:

Q: express each of the following as a single fraction involving positive exponents only. 3a-2 + 4b-1

A: The negative exponents can be converted to positive exponents by taking the reciprocal of the…

Q: write each of the following using positive rational exponents. For example, √ab = (ab)1/2 = a1/2b1/2…

A: The given expression is x-y2-5. Simplify as follows.

Q: 16. Find the quotient q(x) and remainder r(x) if /(x) is divided by p(x). Show all work. (x) = 2x +…

A: given polynomial  fx=2x4+2x3-5x2-6 and px=2x2+1 claim- find the quotient and the remainder by…

Q: dx Evaluate 2 xV x2 - 4 4 O O

A:

Q: c) Now, express z by means of a rational exponent and compute d) What do vou think happens when n…

A:

Q: write each of the following using positive rational exponents. For example, √ab = (ab)1/2 = a1/2b1/2…

A: 4√ a2b3

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

A: Use quotient rule

Q: Eliminate the arbitrary constants for: 5x2y3 - 2xy4 = -7c

A: The given equation is 5x2y3-2xy4=-7c the given function is an implicit function using the implicit…

Q: write each of the following using positive rational exponents. For example, √ab = (ab)1/2 = a1/2b1/2…

A: The given expression is  2x-y35.

Q: write each of the following using positive rational exponents. For example, √ab = (ab)1/2 = a1/2b1/2…

A: we have to write each of the following using positive rational exponents. A=4yx3

Q: 2) Rewrite each of the following using rational exponents.

A: (n√x)m = (x1/n)m = x1/n × m = xm/n Where m, n and x are integers

Q: Which of the following is NOT a possible rational root of the polynomial P(x) = 5xª + 3æ³ + 4x² +…

A: Please see the explanation below

Q: express each of the following as a single fraction involving positive exponents only. 5x-2y +…

A: Given: Let p=5x-2y+6x-1y-2 To Find: To simplify the given expression

Q: write each of the following using positive rational exponents. For example, √ab = (ab)1/2 = a1/2b1/2…

A: 2xy=2xy1/2=21/2x1/2y1/2

Q: 6. Rewrite each of the following expressions without roots by using fractional exponents. (a) VE (b)…

A:

Q: write each of the following using positive rational exponents. For example, √ab = (ab)1/2 = a1/2b1/2…

A: Given: x2y45Formula: √ab = (ab)12= a12 b12 .

Q: 2(x+h)+1- V2(x+1)

A: We can use rationalization method here to simplify the given expression:-  where we multiply…

Q: 1. 6 _2. (m – 1) _3. 5x2 4a 4. 5. ya

A:

Q: Tothe TOthe richt of Z =-l.2

A:

Q: Simplify expresson. the radical 6. a

A:

Q: 44. Rewrite each of the following as an equivalent expres- sion with a rational exponent. [R.5] а)…

A: since you have posted multiple questions, so I'll solve first three for you , for rest question's…

Q: express each of the following as a single fraction involving positive exponents only. x-2 + x-3

A: Given: y=x-2+x-3 We know that x-m=1xm…

Q: express each of the following as a single fraction involving positive exponents only. x-3 - y-1

A: we have to express x-3-y-1 as a single fraction involving positive exponents only

Q: express each of the following as a single fraction involving positive exponents only. 2x-1 - 3y-2

A: Given: 2x-1-3y-2

Q: express each of the following as a single fraction involving positive exponents only. x2y-2 - x-1y-3

A: The given expression is, x2y-2-x-1y-3 Using the exponential rule,  a-b=1ab

Q: write each of the following using positive rational exponents. For example, √ab = (ab)1/2 = a1/2b1/2…

A: We have to write the given expression by using positive rational exponents: xy23 We know the…

Q: express each of the following as a single fraction involving positive exponents only. 2x-1 - 3x-2

A:

Q: Find the inditial equation for xヴ X 9+2Xy+3yso

A:

Q: Suppose we wanted to add the following rational expressions. Only the denominators are sho ? ? ? x2…

A: For the common denominator, we need to find the lcm of the denominators. Here,…

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: express each of the following as a single fraction involving positive exponents only. x-1y-2 - xy-1

A: Consider the expression, x-1y-2-xy-1

Q: 1. An algebraic expression involving integral and rational exponents is shown below. (45x y3523)…

A:

Q: 8a2+9+1 Simplify the following rational expression: 2+3z+2 2-2 (8z + 1)(z + 1)² (x – 2)2 (8x + 1)…

A: To simplify

Q: 4. Find the real roots of the following rational equations. x+7 X-3 %3D x-5 x+8 X-11 2х-22 618

A:

Q: Match each rational number in the first column with an equal rational number in the second column.…

A: we will solve it one by one in the next step.

Q: 2. Perform the following rational expression addition. x+3 X + x+1 x² - 2x

A: Solution: Given that expression is

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: write each of the following using positive rational exponents. For example, √ab = (ab)1/2 = a1/2b1/2…

A: To write the given expression using positive rational exponents.(3x-y)47 Solution: (3x-y)47 On…

Q: State the steps you will take to transform  3x + n = 7 to  x = (1/3)[7- n]

A: Given, 3x + n = 7 to  x = 13[7- n] step for the following transformation is as follows.

Q: write each of the following using positive rational exponents. For example, √ab = (ab)1/2 = a1/2b1/2…

A: Rational exponent is used to denote an power to which number is raised. It is also known as…

Q: Express the following fraction in simplest form, only using positive exponents. 20y²h-1 (5y h2)2

A: We have to simplify the following expression into simplest form using only positive exponents.…

Q: 7. Rewrite each of the following without the use of fractional or negative exponents by using…

A:

Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.