5.1 – Use Properties of Exponents

5.1 – Use Properties of ExponentsExample 1:

Evaluate Numerical Expressionsa. (-4 x 25)2 b. (115/118)-1

5.1 – Use Properties of ExponentsThe 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 ExponentsExample 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 ExponentsExample 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 ExponentsExample 3:

Simplify the expression:a. b-4b6b7

b. (r -2/s3)-3

c. (16m4n-5)/(2n-5)

5.1 – Use Properties of ExponentsExample 4:

What is the simplified form of (x-3y3)2 ?

x5y6

5.1 – Use Properties of ExponentsExample 5:

a. x-6x5x3

b. (7y2z5)(y-4z-1)c. (x3/t-4)2

d. (x4y-2/ x3y6)3