Powers and Exponents

24 Base What are Powers? Exponent Numbers expressed using exponents. (Otherwise known as exponential form) 24 Exponent Base Tells the number of times the base is used as a factor The Factor that is multiplied.

Writing Powers from Exponential Form to Standard Form 24= 2 x 2 x 2 x 2 = 16 Standard Form Exponential Form

When are Powers & Exponents used in real life? In science, exponents are used all over the place, where they often appear as powers of the number 10 (it's called "scientific notation"). In business, people use exponents to describe how much money they make; and exponents are involved in the purchase of a house, or a loan to buy a car. Earthquakes (maybe you've heard of the Richter scale) how loud Sound is (the "decibel" level) how bright Stars are (you might have heard of the "magnitude" of a star or galaxy).

Using a calculator is easy. 7 x 7 x 7 x 7 x 7 75 16,807 7 ^ 5 =

Your Turn: Evaluate each power Exponential Form Standard Form Evaluation 1). 25 2). 43 3). 54 4). 34 2 x 2 x 2 x 2 x 2 4 x 4 x 4 5 x 5 x 5 x 5 3 x 3 x 3 x 3 = 32 = 64 = 625 = 81

Your Turn: 6 x 6 x 6 x 6 x 6 4 x 4 x 4 x 4 x 4 x 4 x 4 x 4 Change into exponential form Standard Form Exponential Form 6 x 6 x 6 x 6 x 6 4 x 4 x 4 x 4 x 4 x 4 x 4 x 4 13 x 13 x 14 x 14 x 14 x 15 3 x 3 x 3 x 3 65 48 132 x 143 x 151 34

Take it a step further, try this out. Put this set of numbers in order from least to greatest. {65, 114, 410, 173} {114, 173, 65, 410} Put this set of numbers in order from greatest to least. {65, 94, 210, 1100000, 1000000, 173} {65, 94, 173, 210, 1100000, 1000000}