PAL Worksheet 13: Exponents | University of Vermont - Edubirdie

University:
University of Vermont
Course:
MATH 1034 | Pre-Calculus Mathematics
Academic year:

2024
Views:

463

Pages:

1
Author:

smammarejv5

PAL Worksheet 13 1. A circle of radius r is inscribed in a square. r a. Write a function that gives the area of the square as a function of r. b. Write a function that gives the perimeter of the square as a function of r. c. Write a function that gives the area outside the circle but inside the square as a function of r. 2. Simplify each expression. You should have no negative exponents, and no compound fractions in your answers. You may assume variables represent nonnegative numbers. √ √ 5 3−1 + 4−1 32−2 27x−3 (2 + 3)−1 √ c. d. a. √ b. 4 4 2−1 + 3−1 12−1 813 9x2 e. (a−2 + b−2 )−1 f. 1 (x2 y 3 )6 3. Solve for x: a. 2x b. 2 −x 2 5x =4 · 5x 58 = 54 c. 163x−1 = 32x−4 √ d. ( 3)x · 9x−1 · 32x+1 = 81 2 9x e. =9 81 · 3x 1 (x−2 y 2 )2 g. 1 3 (16x2 y − 3 ) 4 1 3 (4x−1 y 3 ) 2 q p (x + y)3 4 x3 y −5 p h. (x x−3 y)−2

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