The next topic we are learning involves exponents! Let's see how much you remember...
Question 1
1.
Question 2
2.
Question 3
3.
Analyze the powers with a base of 3. As the exponent decreases by 1, the numbers on the right are being divided by _______
Question 4
4.
According to this pattern, what do you think 3^0 equals?
3^4 = 81
3^3 = 27
3^2 = 9
3^1 = 3
3^0 = _______
Question 5
5.
According to this pattern, what do you think 5^0 equals?
5^4 = 625
5^3 = 125
5^2 = 25
5^1 = 5
5^0 = _______
Question 6
6.
65^0 =
Question 7
7.
Any number to the zero power will always equal _______ .
Question 8
8.
Let's keep this pattern going. Now that we know 4^0 = 1 what do you think 4^-1 = ?
4^4 = 256
4^3 = 64
4^2 = 16
4^1 = 4
4^0 = 1
4^-1 = _______
Question 9
9.
What do you think 5^-1 equals?
5^4 = 625
5^3 = 125
5^2 = 25
5^1 = 5
5^0 = 1
5^-1 =
Negative exponents tell you to flip the base. You can never have a negative exponent in your answer. If you do, flip it to the denominator to make it positive!
Type in all answers as whole numbers or fractions. No decimals!
Question 10
10.
2^0=
Question 11
11.
12^-1=
Here's an example similar to #12:
Question 12
12.
3^-2=
Simplify completely. Your answer should not have exponents.
Question 13
13.
4^-2=
Simplify completely. Your answer should not have exponents.
Question 14
14.
(-7)^0=
Question 15
15.
0^6=
Question 16
16.
*Hint: flip the fraction to make the exponent positive. Then evaluate.
Question 17
17.
Question 18
18.
Question 19
19.
Hint:
Fraction answers only, no decimals!
Question 20
20.
Question 21
21.
Question 22
22.
Question 23
23.
Hint:
Question 24
24.
Question 25
25.
Question 26
26.
Let's expand and look for a shortcut:
How many 2's are underlined? _______
Question 27
27.
Let's expand and look for a shortcut:
How many x's are underlined? _______
Question 28
28.
Therefore, we can say,
Question 29
29.
Question 30
30.
Hint: The second y has an invisible exponent of 1
Question 31
31.
Question 32
32.
What's the rule?
Example similar to #33:
Notice how we still multiply the coefficients (3 x 2) but add the exponents.
Question 33
33.
Now you try!
Question 34
34.
Let's expand and look for a shortcut:
How many 2's are underlined? _______
Question 35
35.
Let's expand and look for a shortcut:
How many x's are underlined? _______
Question 36
36.
Therefore, we can say:
Question 37
37.
Question 38
38.
Question 39
39.
Hint: z has an invisible exponent of 1
Question 40
40.
What's the rule?
Here's an example similar to #41:
Question 41
41.
Now you try!
Question 42
42.
Therefore, according to the last example we can say:
So when we divide by the same base we _______ the exponents.
Question 43
43.
Question 44
44.
Question 45
45.
What's the rule?
Example similar to #46:
Question 46
46.
Now you try!
Example similar to #47:
Notice how we still divide the coefficients (15 / 5) but subtract the exponents.
Question 47
47.
Now you try!
Below are all the exponent rules you re-learned today.
