Mary's Rock is a mountain that is popular for hiking. There is a 3.8-mile trail from the base of the mountain to the top. Elizabeth is a beginner hiker climbing the mountain for the first time. Suppose h represents the number of miles Elizabeth has hiked since starting to climb the mountain. a. Explain what the expression 3.8 - h represents. Alexis is an experienced hiker who climbed the mountain early in the morning and is already at the peak. Alexis hikes 1.8 times as fast as Elizabeth. At 10:00 am Elizabeth and Alexis start hiking towards each other. Alexis was descending while Elizabeth was ascending. For simplicity we are assuming both hikers' hike at constant speed. b. Explain what the expression 1.8h represents. c. What expression represents the cumulative distance hiked by Elizabeth and Alexis including Alexis's hike up the mountain earlier that morning.

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Power Operation

Power operation is topic of algebra in Math. It is use to represent repeated multiplication. Very big number and very small number can be easily express using power operation. Power operation is useful in many fields. In space engineering, it helps in representing the distance or size of particular heavenly body. In medical field, it is used to represent very small size. In medical field it helps to mention size of bacteria or virus. 

Exponents

The exponent or power or index of a variable/number is the number of times that variable/number is multiplied by itself.