What is the simplified form of 3a^4b^-2c^3?

a. (81a^4c^3) / (b^2)

b. (81a^4) / (b^2c^3)

c. (3a^4) / (b^2c^3)

d. (3a^4c^3) / (b^2) D What is - a^-2 if a = - 5?

a. - 25

b. 25

c. - 1/25

d. 1/25 D What is (-m) ^-3n if m = 2 and n = - 24?

a. 3

b. - 3

c. 4

d. - 4 A

1. Simplified form of: 3 a^4 * 4 b^ (-2) * c^3 =

= (3 a^4 * 4 c^3) / (b^2)

Answer: d.

2. If a = - 5,

- a^ (-2) = - ( - 5) ^ (-2) = - (1 / 5^2) = - 1/25

Answer: c.

3. If m = 2 and n = - 24:

( - 2) ^ (-3) * ( - 24) = 1 / ( - 2) ^3 * ( - 24) = - 1 / 8 * ( - 24) = 24 / 8 = 3

Answer: a. 3