Whenever you mutiply 2 or more terms with the same base you can add the exponents. whenever you divide 2 or more terms with the same base you can subtract the exponents.
whenever u have an exponent expression that is raised to a power you can mutiply the exponent and power.
using the basic exponent rules above simplify each expression.

4²· 4⁷=
3⁴· 3⁶=
5 · 5²=
y⁴ · y=
(xy)²(xy)⁴ =
2³ · 2⁵ · 2=
(3²)4=
(5⁻²)³ =
(-3⁴)⁻² =
(y⁻²)⁰ =
(9⁰)³ =
(y⁴)⁴ =
(⁻5³)⁷ =
x³·x⁸ =
(4⁻²)⁻⁵ =
3⁰ · 3⁵ =

Lin is writing an equation to model the proportional relationship between y, the total cost in dollars of downloading videos from a website, and x, the number of videos downloaded. she knows that the total cost to download 3 videos was $12. her work to find the equation is shown below. joylin’s work step 1 k= 3/12= 0.25 step 2 y= 0.25x where did joylin make her first error?

1. an economy consists of three workers: larry, moe, and curly. each works 10 hours a day and can produce two services: mowing lawns and washing cars. in an hour, larry can either mow one lawn or wash one car; moe can either mow one lawn or wash two cars; and curly can either mow two lawns or wash one car. a. calculate how much of each service is produced under the following circumstances: a. all three spend all their time mowing lawns. b. all three spend all their time washing cars. c. all three spend half their time on each activity d. larry spends half of his time on each activity, while moe only washes cars and curly only mows lawns b. using your answers to part a, draw a production possibilities frontier and label points a, b, c, and d on your graph. explain why the production possibilities frontier has the shape it does. c. are any of the allocations calculated in part a inefficient? explain.

Which term applies to agb and dge? a. obtuse b. supplementary c. complementary d. vertical