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

Question

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

Answer 1

1. (y^2 * x^8)/(x^6 * y^2) can be simplified as (x^8 * y^2)/(x^6 * y^2) = x^(8-6) * y^(2-2) = x^2 * 1 = x^2

2. (2x^3 * y)^3 can be written in exponent form as (2^3 * (x^3)^3 * y^3) = 8x^9y^3

3. The expression in which the exponents are multiplied is (3^3) * (3^2)

4. The expression that simplifies to a positive exponent is 2 * (-3)^2

5. The expression that leaves the largest number on the number line is 10^6/10^14