USING DISTRIBUTIVE PROPERTY WITH RATIONAL EXPONENTS WORKSHEET

Expand and simplify :

Problem 1 :

2x123x32 - 4x-12

Solution

Problem 2 :

x12x12 - x-12

Solution

Problem 3 :

x-12x12 - 2x-12

Solution

Problem 4 :

x322x12 - x-12

Solution

Problem 5 :

x12 + 3 x12 - 3

Solution

Problem 6 :

x12 + x-12 x12 - x-12

Solution

Problem 7 :

x + 3x2

Answer Key

1)  6x2 - 8

2)  x - 1

3)  (x - 2)/x

4)  x(2x - 1)

5)  x - 9

6)  (x2 - 1)/x

7)  x2 + (9/x2) +6

Solve the following radical equations.

1)  2x(2/3) = 8          Solution

2)  4x(3/2) = 32        Solution

3)  x1/4 + 3 = 0        Solution

4)  2x3/4 - 14 = 40         Solution

5)  (x + 6)1/2 = x        Solution

6)  (5 - x)1/2 – 2x = 0        Solution

7)  2(x + 11)1/2 = x + 3        Solution

8)  (5x2 – 4)1/4 = x        Solution

9)  x1/5 = 2        Solution

10)  2√(3x – 1) + 3 = 11        Solution

11)  4x2 = 64        Solution

12)  2(x – 2)4 – 3 = 159        Solution

13) √(2x + 4) = √(x + 2)        Solution

14)  x 6 = -2        Solution

Answer Key

1)  x = 8, -8

2)  x = 4

3)  x = 81

4)  x = 81

5)  x = 3 and x = -2

6)  x = 1 and x = -5/4

7)  x = 5 and x = -7

8)  x = ±1 and x = ±2

9)  x = 32

10)  x = 17//3

11)  x = ±4

12)  x = 5 and x = -1

13)  x = -2

14)  x = 64

simplifying-expressions-with-rational-exponents-worksheet

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