Simplify and leave all exponents positive (x-5)(x*)~² (25x®y®z*)Z eg - eg - (x4)-2 (27x³3y6z®)3

Q: Use the quotient rule to simplify the expressions.Assume that x > 0. √500x3/√10x-1

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Q: Simplify. Express your answer as a single term, without a denominator.

A: Givent×t-92

Q: Simplify the difference quotient by rationalizing the numerator. Vz - 2 - Vz

A: Multiply the denominator and the numerator by the conjugate of the numerator.

Q: Simplify and express with positive exponents,  (25X8 Y-6)1/2

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Q: Rationalize the numerator. (√x - √y/x2 - y2)]

A: We multiply the numerator by its conjugate

Q: Simplify and express with positive 3 exponents: (2x)-3

A: To simplify:  3(2x)-3 Laws of negative exponents states that a-n=1an and power of product rule…

Q: Rationalize the numerator.

A: We have to rationalize the numerator: x+1-x To rationalize we need to multiply and divide by x+1+x,…

Q: What makes the denominator zero in the equation: 2/x+4 - 1/x-4 = 4x/x2 - 16

A: We have to make the denominator Zero.

Q: Which of two properties of exponents require that the base of the exponent be the same in order to…

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Q: What does the product rule for exponents states?

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Q: Rationalize the denominator and simplify. Assume that all variables represent positive numbers.…

A: To rationalize the denominator and simplify the given expression.

Q: Find the exact value of the expression.

A: The given expression is cotsin-1-23.

Q: rationalize the denominator and simplify. All variables represent positive real numbers. √2/(√10 -…

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Q: rationalize the denominator and simplify. All variables represent positive real numbers. 3 √6/(5 √3…

A: Given :             3653 - 42   To rationalize the denominator and simplify.

Q: Rationalize the denominator and simplify. Assume that all variables represent positive real numbers.

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Q: Rationalize hVx+h denominator:

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Q: Our hearts beat approximately 70 times per minute. Express in scientific notation how many times the…

A: Given: Our hearts beat=70 times per minute. The heartbeats over a lifetime of 80 years=x

Q: Rationalize the denominator and simplify. Assume that all variables represent positive real numbers.…

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Q: Rationalize the denominator of the expression. Assume that all variables are positive when they…

A: 52-1

Q: Rationalize the denominator of the expression. Assume that all variables are positive when they…

A: 35-2

Q: Rationalize the numerator. [(√x + √y/x2 - y2)]

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Q: Rationalize the denominator and simplify. Assume that all variables represent positive real numbers.…

A: To Determine: Rationalize the denominator and simplify. Assume that all variables represent positive…

Q: Simplify as a single term without negative exponents: k -1 - m-1.

A: Given: The expression is k-1-m-1. Algebraic Property used: x-1=1x Calculation: Simplify the…

Q: Use your Exponent Rules to Simplify 7,3 4: 2xy³ 22 2a*y z 4,4 2x y10 25 ,5,105 2.x° y 23 6x° y10 25

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Q: Rationalize the numerator : (√x + √y) / (x2 - y2)

A: The given expression is x+yx2-y2

Q: rationalize the denominator and simplify. All variables represent positive real numbers. 3/(√2 - 5)

A: We have to rationalize the denominator to simplify the expression: 32-5 To rationalize the…

Q: Express with positive exponents only. Then simplify, if possible. x-4/y-2

A: Here, we apply the rule of exponents x^(-m)=1/x^m on the given expression as shown on board.

Q: Use your Exponent Rules to Simplify x 5,4 x48 2 x² y° z 2,,3 x² y .2,3 22 2]

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Q: 2. Simplify the radical. Assume that all variables represent positive real numbers. V-32x10 y5

A: 2. We need to simplify the following expression -32x10y55

Q: Rationalize the denominator. -6/√x -5

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Q: 7. Rationalize the expression. √x² + 1 -√√x

A: Rationalize expression

Q: What is the logical first step in rationalizing the denominator 3 of 1+ Vx

A: Given: y=31+x for rationalizing the denominator for given expression, first we multiply and divide…

Q: The initial point of a is (-2, 4), and its terminal point is (-5, –2). What is the value of lläll?…

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Q: rationalize the denominator of   y/√3+√y

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Q: rationalize the denominator and simplify. All variables represent positive real numbers. 2/(√7 + 1)

A: Simplify: 27+1

Q: - Use exponent rules your friend would already know to calculate

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Q: Use properties as completely of exponents to simplify the expression as you can.

A: Given: a) 2x9·8x1 b) z9·z8 Property of exponent: Law of product is given by, am·an=am+n To simplify:…

Q: rationalize the denominator and simplify. All variables represent positive real numbers. √3/(√7 -…

A: Given:            37-2 To rationalize the denominator, you must multiply both the numerator and the…

Q: Simplify. Assume that all variables represent positive real numbers. (a) V49x20 y26 7x^10y^13 .--…

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Q: Simplify and express with positive xy 3 exponents:

A: Given :     =(x*y^-3)/(x^2*y^-2)

Q: Simplify and express with positive exponents: 4s-3

A: Exponents means the power raised to a term. Such term is called base. These exponents can be…

Q: 15, ,11 Rewrite the radical expression Vx" rational exponent form.

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Q: Q 1: Simplify using exponent properties, and express answers using positive exponents only. بسط…

A: We are solving first question of first three subparts for you. To get the remaining subparts solved…

Q: 30) Simplify and express with positive exponents: 4x2

A: Our Aim is to simplify and express with positive exponents  of the expressiongiven below:-4x-2  -(i)

Q: Rationalize the denominator and simplify. V2 - V5 V5 - v2 一口 V2 - V5 V5 - V2

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Q: Express with positive exponents only. Then simplify, if possible. 1/3x-4

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Q: Explain the negative-exponent rule and give an example.

A: Negative exponent Rule : The rule states that if there is a negative power for a base in the…

Q: Simplify the expression if y>x using positive exponent.

A: