Find the following quotient by rationalizing denominator. Write the answer in the standard form: 3-7i 4–9i

Q: A. Rewrite each expression using rational exponents. 1. xy 2. Va b'c

A: (1) x3y=x3y12        =x312(y)12          As (ab)m=ambm               =x32y12            As (am)n=amn…

Q: Factor and simplify the expression. tan4x - sec4x

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Q: Simplify the expression, and rationalize thedenominator when appropriate.

A: The nth root of a number x is written as x1n.

Q: Multiply the numerator and denominator of the fraction by the conjugate of the denomi-nator, and…

A: cosecx+1cosecx-1

Q: Simplify the expression, and rationalize the denominator when appropriate.

A: Given, u+v3u+v-2 simplify and rationalize term. now multiply and divide with u+v2…

Q: Simplify: 5a*b°c% • 6a*b°cª (entry tip: use ^ -shift+6- for exponents. To type x² type "x^2")

A: Simplify : 5a4b3c5 . 6a8b9c4 We know that if base is equal or same then power will be add that is.…

Q: Simplify the expression, and rationalize thedenominator when appropriate.

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Q: Simplify the expression, and rationalize the denominator when appropriate.

A: Consider the given expression, 1t1t-1 First, simplify terms inside the bracket as follows,…

Q: Use rational exponents to simplify the expression. If rational exponents appear after simplifying,…

A: Given,    (12√x⁴) = x^(4/12)                = x^(1/3)                = (3√x)

Q: simplify each rational expression. 18a2/45ab

A: Given: 18a245ab

Q: Use rational exponents to simplify each radical. Assume all variables are positive.

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Q: Simplify the expression, and rationalize the denominator when appropriate.

A: 3+x3-x

Q: Simplify the expression, and rationalize thedenominator when appropriate.

A: The given expression is x+212 y44. Simplify as follows.

Q: ind DE. 16 30° E Write your answer in simplified, rationalized form. Do not round DE

A: Explanation of the solution is given below...

Q: Fill in the blank/s : We can simplify (√x + 1/√x ) / x by multiplying the numerator and the…

A: Given expression is x+1xx. To simplify this we will multiply both numerator and denominator by x,…

Q: Simplify the expression, and rationalize the denominator when appropriate.

A: The given expression is: -2p2q3p4q22 Since, a·b·c·1d2=a2·b2·c2·1d2

Q: - rational exponents. 8. P

A: We will express the given expression into rational exponents in the following step.

Q: A. Rewrite each expression using rational exponents. 1. xy 2. Vo'b'c 3. fg 4. Vx+ y

A: Here, the given expressions are  3) f3g64  4) (x+y)25 We need to re-write the expression using…

Q: 12 41. V8

A:

Q: Simplify the radical expression by rationalizing the denominator. V3 + V2 V3 - V2

A: We have to simplify

Q: Simplify the following without using the Conjugates of the denominator 1-). 25 3-) 3+41 2-) 10, 3-1…

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Q: y 250x 0. 2xy

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Q: Rationalize the denominator and simplify. 18 16) A) 3, 3/2x V3x C)- D) 3/2x

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Q: Simplify the expression and express the answer using rational exponents. Assume that all letters…

A: Given rational expression is: We have to simplify this expression and express the answer using…

Q: Rewrite using only positive rational exponents. 1/8Y 5/9

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Q: 93. VF

A:

Q: rewrite the following in rational exponent form. simplify all exponents

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Q: Simplify the expression, and rationalize the denominator when appropriate.

A: We have to simplify the expression: a2b3c We know the  representing the square root and for square…

Q: 4. Perform the indicated operations. Then simplify: x2 – 3x – 28 56 - 8x ot gwen f

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Q: Find the following quotient by rationalizing denominator. Write the answer in the standard form: 3–…

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Q: Fill in the blanks. 7 Rationalize the denominator: 3 9a2 7: V3a 7 V 9a? 3 3 9a2 7V3a 3 73a II

A: We have to simplify

Q: Simplist form 2cd radical symbol 900c^5d^7

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Q: (Type an exact answer, using x and radicals as needed.) zX + 91 16 + x2 Evaluate -4 xp xp

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Q: Fill in the blanks using the rules for exponents (a) x = x (b) xx* = st %3D (xy)% = (xy)b (c)

A: (a)  x=x'

Q: Rewrite with rational exponents: a. V64 (V2ry)". b.

A: The nth root radical has the equivalent forms xn=x1/n. Another property of radicals that will be…

Q: Simplify the expression and express the answer using rational exponents. Assume that all letters…

A: The given expression is y56y23

Q: Change from exponent to root form (simplify): (2y)2

A:

Q: Fill in each blank so that the resulting statement is true. We rationalize the denominator of 5 /…

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Q: Simplify the expression, and rationalize the denominator when appropriate.

A: Given the expression. We need to simplify the above expression and need to rationalize the…

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

A: Given: -∛(x + y)

Q: Simplify the expression, and rationalize thedenominator when appropriate.

A: Simplify the expression, and rationalize the denominator when appropriate.…

Q: Fill in the blank/s: 1/(csc x - 1) - 1/(csc x + 1) can be simplified using _________ as the least…

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Q: Simplify by rationalizing the denominator. V5 (Type an exact answer, using radicals as needed.) V5

A:

Q: 2.

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Q: Simplify the expression, and rationalize the denominator when appropriate.

A: Rationalization:       1a+a-2=(a-a-2)(a+a-2)(a-a-2)

Q: 39. Vx8

A:

Q: 2 (Заb + V2)

A:

Q: Simplify the expression, and rationalize thedenominator when appropriate.

A: Given that, x8(y-1)124         ....(1)