1. 5.1 – Use Properties of Exponents

2. Example 1: Evaluate Numerical Expressions a. (-4 x 2 5 ) 2 b. (11 5 /11 8 ) -1

3. 5.1 – Use Properties of Exponents The number is expressed in scientific notation if it is in the form c x 10 n where 1 < c < 10 and n in an integer. When you work with numbers in scientific notation, the properties of exponents can make calculations easier.

4. 5.1 – Use Properties of Exponents Example 2: A swarm of locusts may contain as many as 85 million locusts per square kilometer and cover an area of 1200 square kilometers. About how many locusts are in such a swarm?

5. 5.1 – Use Properties of Exponents Example 3: A Federal Reserve gold bar weighs 400 troy ounces. What is the weight of 250,000 of the gold bars

6. 5.1 – Use Properties of Exponents Example 3: Simplify the expression: a.b -4 b 6 b 7 b.(r -2 /s 3 ) -3 c.(16m 4 n -5 )/(2n -5 )

7. 5.1 – Use Properties of Exponents Example 4: What is the simplified form of (x -3 y 3 ) 2 ? x 5 y 6

8. 5.1 – Use Properties of Exponents Example 5: a.x -6 x 5 x 3 b.(7y 2 z 5 )(y -4 z -1 ) c.(x 3 /t -4 ) 2 d.(x 4 y -2 / x 3 y 6 ) 3