Exponent Properties
Simplify the expression x2 ⋅ x5 ⋅ x-3
x4
Simplify the expression x-5 ⋅ y8 ⋅ x7 ⋅ y-3
x2y5
Write 0.00023 in scientific notation
2.3 ⋅ 10-4
(3.8 ⋅ 108)(3 ⋅ 106)
1.14 ⋅ 1015
The mass of one carbon atom is 1.99 ⋅ 10-26 kilograms. What is the mass of 25,000 carbon atoms?
4.975 ⋅ 10-22 kilograms
Simplify the expression (3x2)3
27x6
Write x-6 using a positive exponent
1/x6
Write 8.623 ⋅ 103 in standard form
8,623
(1.7 ⋅ 106) ÷ (3.4 ⋅ 104)
5 ⋅ 101
Humpback whales can weigh up to 8 ⋅ 104 pounds. The krill they eat weigh only 2.5 ⋅ 10-3 pounds. How many times greater does a whale weigh than a krill?
3.2 ⋅ 107 times greater
Simplify the expression -(150)
-1
Write 1/x-4 using a positive exponent
x4
Write 423,000,000,000 in scientific notation
4.23 ⋅ 1011
(9 ⋅ 102)(1 ⋅ 1011)
9 ⋅ 1013
Pluto is about 3.6 ⋅ 109 miles from the sun. Mercury is about 3.6 ⋅ 107 miles from the sun. How many times further from the sun is Pluto than Mercury?
1 ⋅ 102 or 100 times futher
Simplify the expression 78 ÷ 7-2
710
Simplify the expression (x2)0
1
Write 0.98 ⋅ 107 correctly in scientific notation
9.8 ⋅ 106
(5 ⋅ 10-3) ÷ (4 ⋅ 10-5)
1.25 ⋅ 102
In 2021, the population of New York was about 2 ⋅ 107, and the population of Oregon was about 4 ⋅ 106. How many times greater is the population of NY than OR?
5 ⋅ 100, or 5 times greater
Simplify the expression 44 ⋅ 44
48
Simplify the expression (x2 ⋅ y5) ÷ (x ⋅ y3)
xy2
Write 654 ⋅ 10-13 correctly in scientific notation
6.54 ⋅ 10-11
(1.68 ⋅ 104) ÷ (3.5 ⋅ 10-2)
4.8 ⋅ 105
An airplane traveled at a speed of 5.7 ⋅ 102 miles per hour for 1.4 ⋅ 101 hours. How far did the airplane travel?
7.98 ⋅ 103 miles