1. Simplify: (y ^ 2 * x ^ 8)/(x ^ 6 * y ^ 2)

2. Write in exponent form: (2x ^ 3 * y) ^ 3

3. Which expression would you multiply the exponents?

3 ^ 3 * 3 ^ 2

(3 ^ 3) ^ 2

(3 ^ 7)/(3 ^ 2)

3 ^ 3 + 3 ^ 2

4. Which expression simplified would leave you with a positive exponent when simplified in exponent form? (1 point)

O- 2 * (- 3) ^ 2

3 ^ - 3 + 3 ^ - 4

3 ^ 2 * (3 ^ - 5)

(3 ^ - 11)/(3 ^ - 7)

5. Which expression leaves you with the largest number on the number line?

(10 ^ - 2) ^ - 7

(10 ^ 8)/(10 ^ 5)

(10 ^ 6)/(10 ^ 14)

10 ^ 5 * 10 ^ - 4 * 10 ^ 11

6.Solve the equation and inequality for x, assuming a > 0 (2 points)

a) ax + 15 = 44 Solution:

b) ax - 44 < 15 Solution

x = 29/a

x = 59a

x= 59/a

x = 29a

x < 50/a

x < 29a

x < 20/a

x < 59a

a) x = 29/a

b) x < 59/a