Algebra 1 7-1 Guided Practice: Zero and Negative Exponents
By Matt Richardson
Last updated about 2 years ago
39 Questions
Solve It! Complete the table below. Enter only a number without commas and use fraction form if necessary.
1
1.
1
2.
1
3.
1
4.
1
5.
1
6.
1
7.
1
8.
1
9.
1
10.
1
11.
1
12.
1
13.
1
14.
10
15.
Solve It! Simplify the expression. Write your answer in fraction form.
10
16.
Take Note: For every nonzero number a, a^0 = __________.
10
17.
Take Note: Which of the following are true? Select all that apply.
10
18.
Take Note: Which of the following is equivalent to 4^{-3}?
10
19.
Problem 1 Got It?
10
20.
Problem 1 Got It?
10
21.
Problem 1 Got It?
10
22.
Problem 1 Got It?
10
23.
Problem 1 Got It?
Take Note: Powers can be moved across fraction bars.
For example, in the exponential expression \frac{a^{3}x^{2}}{b^4}, the x^2 can be moved from the numerator to the denominator. (Similarly, powers in the denominator, like b^4 in this expression, can be moved from the denominator to the numerator.)
⚠️ IMPORTANT: In that process, the exponent becomes the opposite of what it was.
Examples:
\frac{a^{3}x^{2}}{b^4}=\frac{a^{3}}{b^{4}x^{-2}}=\frac{a^{3}b^{-4}}{x^{-2}}
10
24.
Problem 2 Got It?
10
25.
Problem 2 Got It?
10
26.
Problem 2 Got It?
10
27.
Take Note: Summarize the process used in Method 1 to evaluate the expression in Example 3 for the given values of the variables.
10
28.
Problem 2 Got It?
10
29.
Problem 2 Got It?
10
30.
Take Note: Summarize the process used in Method 1 to evaluate the expression in Example 3 for the given values of the variables.
10
31.
Take Note: Summarize the process used in Method 2 to evaluate the expression in Example 3 for the given values of the variables.
10
32.
Take Note: Does Method 1 or Method 2 seem to be the most efficient? Explain.
10
33.
Problem 3 Got It?
10
34.
Problem 3 Got It?
10
35.
Problem 3 Got It?
10
36.
Problem 3 Got It?
10
37.
Problem 3 Got It?
10
38.
Problem 4 Got It? A population of insects triples every week. The number of insects is modeled by the expression below, where w is the number of weeks after the population is measured.
Evaluate the expression for w = -2, w = 0, and w = 1.
Match the weeks below with their related populations. Not all populations will be used.
- w = -2
- w = 0
- w = 1
- 400 insects
- 600 insects
- 5400 insects
- 6800 insects
- 16,200 insects
10
39.
Take Note: Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?