Exponent Rules
What do you do with exponents when you have multiplication?
10n*10m
Add them
Write 8*8*8*8*8 with a single exponent
85
Write the expression with a single exponent: 23*27
210
Write the number in scientific notation:
120,000
1.2 * 105
How much more is 3.4 * 104 than 2.1 * 103?
3.19 * 104 more
What do you do with exponents when you have division?
10n/10m
Subtract them
What is the exponent in the expression 712?
12
Write the expression with a single exponent: (43)5
415
Write the number in scientific notation:
0.007
7 * 10-3
How many times larger is 4.84 * 105 than 1.6 * 102
3.025 * 103
What do parentheses tell us to do with our exponents?
(10n)m
What is the base in the number 153?
15
Write the expression with a single exponent: 39/33
36
Write the number in standard form:
2.4 * 10 4
24,000
If 2 million cats each use about 30 pounds of litter per month, about how many total pounds of litter are used per month? Write your answer in scientific notation
60,000,000
6 * 107
How do we make a negative exponent positive?10-n
1/10n - make it into a fraction
Evaluate the expression: 60
1
Write the expression with a single, positive exponent: 10-7
1/107
8.13 * 10-6
0.00000813
Simplify the expression. Write your answer in scientific notation.
(1.23 * 105) - (4.5 * 104)
78,000
7.8 * 104
True or False: we cannot use exponents with numbers that have different bases
False
Evaluate the expression: 43
64
Write the expression with a single exponent: 82*92
722
Write the number in scientific notation:
1,020,000
1.02 * 106
Simplify the expression. Write your answer in scientific notation.
(2.6 * 104) * (3.1 * 105)
8.06 * 109