Module 2 - Part 2

|| Laws of exponentiation ||

Fractional powers

Exercises

For each question, click on the box corresponding to your answer, and then click on the 'Submit Answer' button.

1- Evaluate 4^3/2

4³ 8 64

2- Evaluate 4^2/3 X 4^5/6

4^3/2 4^5/9 4^10/18

3- Evaluate 4x^2/3 X 3x^1/2

12x^7/6 4x^7/6 12x^2/6

4- Evaluate X

1

5- Evaluate (p^2/3) ^1/4

p^11/12 p^{2/3 + 1/4} p^1/6

6- Evaluate (x^{1/(a - b)})^{(a - b) (a + b)}

x^a-b x^a+b x^{1/(a-b) + (a-b)(a+b)}

7- Evaluate x^-1/2 X y^2/3 x^1/2 X y^-1/3

y^-1/3

8- Evaluate

9- Evaluate X (a + b)^-2/3

(a + b)^2/3 a+b (a + b)²

10- Evaluate

8 2^-2

|| Laws of exponentiation ||