Exponent Rules
Multiplication
Division
Powers of Power
Random
100
What do you do when MULTIPLYING powers with the same base
keep the base the same and add the exponents
100
5³⋅5⁴
57
100
x5
100
(5³)⁷
521
100
1340
1
200
What do you do when DIVIDING powers with the same base
keep the base the same and subtract the exponents
200
(a5)(a4)
a9
200
58 / 52
56
200
(2⁸)²
200
7-2
1/49
300
What do you do when MULTIPLYING powers of a power?
the base stays the same and you MULTIPLY the exponents.
300
(c5)(c3)(c3)
c11
300
78/74
74
300
(x⁴)²
x8
300
23 x 43
83
8
400
What do you do when MULTIPLYING powers with the same exponent but different bases
you keep the exponent the same and multiply the bases
400
3³ ⋅ 3
34
400
75
400
(y³)⁵
400
66 / 26
36
500
what do you do when the exponent is negative
A negative power is just the reciprocal of the positive power. (it’s not actually a negative number!!!!)
500
x10⋅ x-4
x-40
500
500
(x14)3
x42
500
evaluate 35
243