Simplify the following exponential expression. Show your work step by step and justify your steps using the Properties of Exponents you’ve learned in previous units. Use your class notes for the names of the Properties of Exponents.

Two cyclists 84 miles apart start riding toward each other at the same. one cycles 2 times as fast as the other. if they meet 4 hours later, what is the speed (in mi/h) of the faster cyclist?

Nikita wants to apply for student aid to fund her college education. arrange the steps involved in nikita’s application for financial aid

(c) a vine called the mile-a-minute weed is known for growing at a very fast rate. it can grow up to 0.5 ft per day. how fast in inches per hour can the mile-a-minute weed grow up to? show your work using the correct conversion factors.