Product Rule and Quotient Rule
Power Rule
Mixed Rules
Word Problems
Scientific Notation
100
Simplify using Laws of Exponents:
c · c5
c6
100
Simplify using Laws of Exponents:
(x2)5
x10
100
Simplify using Laws of Exponents:
(-2w4)(5w)
-10w5
100
The distance between the sun and Earth varies, but it averages 92,955,807 miles. How would you approximate this distance in scientific notation?
9.3 x 107
100
What is .000078 in scientific notation?
7.8 x 10-5
200
Simplify using Laws of Exponents:
b12 / b8
b4
200
Simplify using Laws of Exponents:
(-x4)3
-x12
200
Simplify using Laws of Exponents:
2x9 / 4x5
x4 /2 or 0.5x4
200
Light travels 3×108 meters per second. How far can light travel in one minute?
1.8 x 1010
200
What is 6.022 x 104 in standard notation?
60220
300
Simplify using Laws of Exponents:
d22 · d-12
d10
300
Simplify using Laws of Exponents:
(-y8)4
-y32
300
Simplify using Laws of Exponents:
(8v9)5
32,768v45
300
Nathan loved learning about earthquakes in science class. He told his brother that up until a 7.8-magnitude earthquake hit Nepal in 2015, Mount Everest had been moving northeast at a rate of 7.7×106 centimeters per minute. What would be the most appropriate unit for Nathan to use instead of centimeters per minute?
a. cm per day
b. cm per hour
c. cm per week
d. cm per year
d. cm per year
300
(8.27 x 10-4) - (7.8 x 10-4)
=4.7 x 10-5
400
Simplify using Laws of Exponents:
x25 / x13
x12
400
Simplify using Laws of Exponents:
(-c2p5)10
-c20p50
400
Simplify using Laws of Exponents:
-8r10 / 2r-5
-4r15
400
Robert Pershing Wadlow was a bit more than 1×102 inches tall. Chandra Bahadur Dangi was a bit more than 2×101 inches tall.
Wadlow was about ____ times as tall as Dangi.
5
400
(2.5 x 106) + (4.12 x 108)
=4.145 x 108
500
Simplify using Laws of Exponents:
a30 / a-20
a50
500
Simplify using Laws of Exponents:
(z3y2)5
z15y10
500
Simplify using Laws of Exponents:
(-2sr)3(2s2r3)
-16s5r6
500
Last year, Summerfield Steel sold 6.5×104 pounds of steel to private businesses and 2.5×105 pounds of steel to government agencies. This year, they expect to sell 3 times that amount. How much steel would that be?
9.45 x 105
500
(2.5 x 106) x (4.9 x 10-8)
=1.225 x 10-1
600
Simplify using Laws of Exponents:
(7a-5b6)4/(7a4b)4
b20 /a36
600
Simplify using Laws of Exponents:
(5j6)4
625j24
600
Simplify using Laws of Exponents:
(6b12)(2b2)(1/3 b-5)
4b9
600
Since it first opened, Silver Screen Cinemas has sold 2.1 × 105 large sodas and 3.5 × 105 small sodas. The large sodas are 30 ounces, and the small sodas are 16 ounces. How much soda has Silver Screen Cinemas sold in all?
1.19 x 107
600
3 x 10-2