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5.1 – Use Properties of Exponents. 5.1 – Use Properties of Exponents. Example 1: Evaluate Numerical Expressions a. (-4 x 2 5 ) 2 b. (11 5 /11 8 ) -1. 5.1 – Use Properties of Exponents.
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5.1 – Use Properties of Exponents Example 1: Evaluate Numerical Expressions a. (-4 x 25)2 b. (115/118)-1
5.1 – Use Properties of Exponents The number is expressed in scientific notation if it is in the form c x 10n 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.
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?
5.1 – 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
5.1 – Use Properties of Exponents Example 3: Simplify the expression: b-4b6b7 (r -2/s3)-3 (16m4n-5)/(2n-5)
5.1 – Use Properties of Exponents Example 4: What is the simplified form of (x-3y3)2 ? x5y6
5.1 – Use Properties of Exponents Example 5: x-6x5x3 (7y2z5)(y-4z-1) (x3/t-4)2 (x4y-2/ x3y6)3