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Question: Compute the numbers. (.01)-1.5


Compute the numbers.
(.01)-1.5


> Use the laws of exponents to simplify the algebraic expressions. Your answer should not involve parentheses or negative exponents. (25xy)3/2 / x2y

> Use the laws of exponents to simplify the algebraic expressions. Your answer should not involve parentheses or negative exponents. √x (1/4x)5/2

> Use the laws of exponents to simplify the algebraic expressions. Your answer should not involve parentheses or negative exponents. (-8y9)2/3

> Use the laws of exponents to simplify the algebraic expressions. Your answer should not involve parentheses or negative exponents. (16x8)-3/4

> Use the laws of exponents to simplify the algebraic expressions. Your answer should not involve parentheses or negative exponents. 1 / yx-5

> Use the laws of exponents to simplify the algebraic expressions. Your answer should not involve parentheses or negative exponents. 2x / √x

> Sketch the graph of the function. f (x) = √(x + 1)

> In Exercises 7–12, express f (x) + g(x) as a rational function. Carry out all multiplications. f (x) = x + 5 / x – 10, g(x) = x / x + 10

> Use the laws of exponents to simplify the algebraic expressions. Your answer should not involve parentheses or negative exponents. x2 / x5y

> Use the laws of exponents to simplify the algebraic expressions. Your answer should not involve parentheses or negative exponents. (3x2 / 2y)3

> Use the laws of exponents to simplify the algebraic expressions. Your answer should not involve parentheses or negative exponents. (x)3/2 * (x)2/3

> Use the laws of exponents to simplify the algebraic expressions. Your answer should not involve parentheses or negative exponents. (x)3/2 * (x)2/3

> Use the laws of exponents to simplify the algebraic expressions. Your answer should not involve parentheses or negative exponents. (-3x)3

> Use the laws of exponents to simplify the algebraic expressions. Your answer should not involve parentheses or negative exponents. x-4 / x3

> Use the laws of exponents to simplify the algebraic expressions. Your answer should not involve parentheses or negative exponents. x3 / y-2

> Use the laws of exponents to simplify the algebraic expressions. Your answer should not involve parentheses or negative exponents. -x3y / -xy

> Use the laws of exponents to simplify the algebraic expressions. Your answer should not involve parentheses or negative exponents. -3x / 15x4

> Use the laws of exponents to simplify the algebraic expressions. Your answer should not involve parentheses or negative exponents. (2x)4

> In Exercises 7–12, express f (x) + g(x) as a rational function. Carry out all multiplications. f (x) =-x / x + 3, g(x) = x / x + 5

> Sketch the graph of the function. f (x) = 2x2 - 1

> Use the laws of exponents to simplify the algebraic expressions. Your answer should not involve parentheses or negative exponents. x-3 * x7

> Use the laws of exponents to simplify the algebraic expressions. Your answer should not involve parentheses or negative exponents. x5 * (y2 / x)3

> Use the laws of exponents to simplify the algebraic expressions. Your answer should not involve parentheses or negative exponents. √(1 + x) * (1 + x)3/2

> Use the laws of exponents to simplify the algebraic expressions. Your answer should not involve parentheses or negative exponents. (x3y5)4

> Use the laws of exponents to simplify the algebraic expressions. Your answer should not involve parentheses or negative exponents. (x/y)-2

> Use the laws of exponents to simplify the algebraic expressions. Your answer should not involve parentheses or negative exponents. (x4 / y2)3

> Use the laws of exponents to simplify the algebraic expressions. Your answer should not involve parentheses or negative exponents. (x3 * y6)1/3

> Use the laws of exponents to simplify the algebraic expressions. Your answer should not involve parentheses or negative exponents. x-1/2

> Use the laws of exponents to simplify the algebraic expressions. Your answer should not involve parentheses or negative exponents. 1/x-3

> In Exercises 7–12, express f (x) + g(x) as a rational function. Carry out all multiplications. f (x) = x / x - 8, g(x) =-x / x - 4

> Use the laws of exponents to simplify the algebraic expressions. Your answer should not involve parentheses or negative exponents. (x4 * y5)/ xy2

> Sketch the graph of the function. f (x) = x2 + 1

> Use the laws of exponents to simplify the algebraic expressions. Your answer should not involve parentheses or negative exponents. (x1/3)6

> Use the laws of exponents to simplify the algebraic expressions. Your answer should not involve parentheses or negative exponents. (xy)6

> Use the laws of exponents to compute the numbers. (61/2)0

> Use the laws of exponents to compute the numbers. 74/3 / 71/3

> Use the laws of exponents to compute the numbers. (125 * 27)1/3

> Use the laws of exponents to compute the numbers. (8/27)2/3

> Use the laws of exponents to compute the numbers. 200.5 * 50.5

> Use the laws of exponents to compute the numbers. (21/3 * 32/3)3

> In Exercises 7–12, express f (x) + g(x) as a rational function. Carry out all multiplications. f (x) = 3 / x – 6, g(x) = -2 / x - 2

> Use the laws of exponents to compute the numbers. 35/2 / 31/2

> Use the laws of exponents to compute the numbers. 104 / 54

> Describe the domain of the function. g(x) =4 / x(x + 2)

> Use the laws of exponents to compute the numbers. (94/5)5/8

> Use the laws of exponents to compute the numbers. 61/3 * 62/3

> Use the laws of exponents to compute the numbers. (31>3 * 31>6)6

> Use the laws of exponents to compute the numbers. 51/3 * 2001/3

> Compute the numbers. 1-1.2

> Compute the numbers. (1/8)-2/3

> In Exercises 7–12, express f (x) + g(x) as a rational function. Carry out all multiplications. f (x) = 2 / x - 3, g(x) = 1 / x + 2

> Compute the numbers. 4-1/2

> Compute the numbers. (81)0.75

> Compute the numbers. 160.5

> Describe the domain of the function. g(x) = 1 / √(3 – x)

> Compute the numbers. 91.5

> Compute the numbers. (1.8)0

> Compute the numbers. (27)2/3

> Compute the numbers. (25)3/2

> Compute the numbers. 163/4

> Compute the numbers. 84/3

> Graph the following equations. y = -2x + 3

> Compute the numbers. (-5)-1

> Compute the numbers: (.01)-1

> Compute the numbers. (½)-1

> Compute the numbers. 6-1

> Describe the domain of the function. f (t) =1 / √t

> Compute the numbers. (1 / 125)1/3

> Compute the numbers. (.000001)1/3

> Compute the numbers. (27)1/3

> Compute the numbers. (16)1/2

> Compute the numbers. (.01)3

> Use intervals to describe the real numbers satisfying the inequalities. x < 3

> Compute the numbers. -42

> Compute the numbers. (100)4

> Compute the numbers. (.1)4

> Use the quadratic formula to find the zeros of the functions in Exercises 1–6. f (x) = 2x2 - 7x + 6

> Find a good window setting for the graph of the function. The graph should show all the zeros of the polynomial. f (x) = 2x5 - 24x4 - 24x + 2

> Describe the domain of the function. f (x) =8x / (x - 1)(x - 2)

> Find a good window setting for the graph of the function. The graph should show all the zeros of the polynomial. f (x) = 3x3 + 52x2 - 12x - 12

> Find a good window setting for the graph of the function. The graph should show all the zeros of the polynomial. f (x) = x4 - 200x3 - 100x2

> Find a good window setting for the graph of the function. The graph should show all the zeros of the polynomial. f (x) = x3 - 22x2 + 17x + 19

> In Exercises 51–54, find the points of intersection of the graphs of the functions. (Use the specified viewing window.) f (x) = 1 / x; g(x) = √(x2 – 1); [0, 4] by [-1, 3]

> Graph the following equations. y = - ½ x - 4

> In Exercises 51–54, find the points of intersection of the graphs of the functions. (Use the specified viewing window.) f (x) = 3x4 - 14x3 + 24x - 3; g(x) = 2x - 30; [-3, 5] by [-80, 30]

> In Exercises 51–54, find the points of intersection of the graphs of the functions. (Use the specified viewing window.) f (x) = -x - 2; g(x) = -4x2 + x + 1; [-2, 2] by [-5, 2]

> In Exercises 51–54, find the points of intersection of the graphs of the functions. (Use the specified viewing window.) f (x) = 2x - 1; g(x) = x2 - 2; [-4, 4] by [-6, 10]

> In Exercises 47–50, find the zeros of the function. (Use the specified viewing window.) f (x) = x / (x + 2) - x2 + 1; [-1.5, 2] by [-2, 3]

> In Exercises 47–50, find the zeros of the function. (Use the specified viewing window.) f (x) = √(x + 2) - x + 2; [-2, 7] by [-2, 4]

> In Exercises 47–50, find the zeros of the function. (Use the specified viewing window.) f (x) = x3 - 3x + 2; [-3, 3] [-10, 10]

> An office supply firm finds that the number of laptop computers sold in year x is given approximately by the function f (x) = 150 + 2x + x2, where x = 0 corresponds to 2015. (a) What does f (0) represent? (b) Find the number of laptops sold in 2020.

> Draw the following intervals on the number line. (4, 3π)

> In Exercises 47–50, find the zeros of the function. (Use the specified viewing window.) f (x) = x2 - x - 2; [-4, 5] [-4, 10]

> When a car is moving at x miles per hour and the driver decides to slam on the brakes, the car will travel x + (1/20) x2 feet. (The general formula is f (x) = ax + bx2, where the constant a depends on the driver’s reaction time and the constant b depends

> Graph the following equations. y = 3x + 1

> Suppose that the cable television company’s cost function in Example 4 changes to C(x) = 275 + 12x. Determine the new breakeven points.

> Solve the equations in Exercises 39–44. x2 - 8x + 16 / 1 + √x = 0

> Solve the equations in Exercises 39–44. x2 + 14x + 49 / x2 + 1 = 0

> Solve the equations in Exercises 39–44. 1 = 5 / x +6 / x2

> Solve the equations in Exercises 39–44. x + 14 / x + 4 = 5

2.99

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