Match the exponential expression with its rule:

1. 1
2. a m+n
3. a mn
4. 1/a n
5. a m b m

a. a^m a^n
b. (ab)^m
c. (a^m)^n
d. a^0
e. a^(-n)

Four individuals pool money together to start a new business and agree to split the profits equally. n invests $6,000, x invests $2,000, y invests $8,000 and z invests $4,000. if the profits for the first month were $100,000, y receives than if the profits were divided in proportion to how much they invested.

If the value of cos330°is√3/2 then find cos 165°.

Alex took his brother to a birthday party. the party was scheduled to last for 1 and 3/4 hours but they stayed for 4/5 of an hour more. how long did she stay at the party?