Exponent Rules
Multiplication
Division
Scientific Notation
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
Write 37,000 in scientific notation
3.7xx10^4
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
Write in standard form
5.79xx10^3
5,790
300
When the exponent is zero what is the solution?
1
300
(c5)(c3)(c3)
c11
300
78/74
74
300
Write in standard form
5.11xx10^-4
.000511
400
How do you put a number in scientific notation?
Multiply a number between 1 and 10 by a power of 10.
400
3³ ⋅ 3
34
400
75
400
Find the product of
(3xx10^3)(5xx10^5)
1.5xx10^9
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
x^5 . x
x^6
500
1/3^4
500
Find the product of
(2 xx 10^3)(4xx10^12)
8xx10^15