Exponents Rules
True or False : When multiplying exponents you are adding the bases (big numbers)
False: When you multiply exponents you are adding the exponents:
Ex: 32 x 32 = 34
(25)1 =
25
103 / 103
1
103 x 103 =
106
(1.5 x 102) (5 x 1010) =
7.5 x 1012
True or False: You can have a negative exponent in the denominator
Ex: 1 / 5-3
False: You can not have a negative exponent in the denominator (it must be positive)
Ex: 5-3 = 1 / 53
(43)3 =
49
1210 / 127
103
5 x 54 =
55
(4.8 x 10-8) / (3 x 10-3) =
1.6 x 10-5
True or False : When dividing exponents you are subtracting the exponents.
Example : 2015 / 2010
True : When dividing exponents you are subtracting the exponents.
Example: 2015 / 2010 = 2015-10 or 205
(79)12 =
7108
104 / 10-2
106
72 x 70 =
72
(5 x 108) (4 x 103) =
2 x 1012
True or False: 83 x 85 is greater than 815
False: When you multiply exponents you add the exponents.
Ex: 83 x 85 = 83+5 = 88
88 is less than 815
(11)0 =
1
(105 / 103)4
108
24 x 23 x 2-3 =
24
(7.2 x 103) / (1.2 x 105) =
6 x 10-2
True of False : When raising one exponent to another exponent; you are multiplying the exponents
Ex: (52)10
True : When raising exponents you are multiplying the exponents and keeping the same base
Ex: (52)10 = 520
(100-4)6
100-24
104 x 105 x 106
----------------------
103 x 107
1015 / 1010 = 105
2-5 x 25 =
20
1.2 x 1019 / 5.88 x 1012 = 2.04 x 1012