Classwork 2021-03-29
By Sam Schneider
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Last updated about 1 year ago
5 Questions
1 point
1
Question 1
1.
| arrow_right_alt | x^6 | |
| arrow_right_alt | x^8 | |
| arrow_right_alt | x^{-2} | |
| arrow_right_alt | 1 | |
| arrow_right_alt | 1 | |
| arrow_right_alt | x^{9}+x^{-4} | |
| arrow_right_alt | x^5 |
1 point
1
Question 2
2.
Use1) The definition of exponentaiton:a^{b}=a\cdot a\cdot a \cdot ... \cdot a, b times2) The commutativity of multiplicationab=ba3) the associativity of multiplicationabc=a(bc)=(ab)cTo Prove(ab)^{n}=a^{n}b^{n}
Use
1) The definition of exponentaiton:
a^{b}=a\cdot a\cdot a \cdot ... \cdot a, b times
2) The commutativity of multiplication
ab=ba
3) the associativity of multiplication
abc=a(bc)=(ab)c
To Prove
(ab)^{n}=a^{n}b^{n}
1 point
1
Question 3
3.
Use1) The definition of exponentaiton:a^{b}=a\cdot a\cdot a \cdot ... \cdot a, b times)2) The rule for multiplying fractions:\frac{a}{b}\cdot\frac{c}{d}=\frac{ac}{bd}To Prove(\frac{a}{b})^{n}=\frac{a^n}{b^n}
Use
1) The definition of exponentaiton:
a^{b}=a\cdot a\cdot a \cdot ... \cdot a, b times)
2) The rule for multiplying fractions:
\frac{a}{b}\cdot\frac{c}{d}=\frac{ac}{bd}
To Prove
(\frac{a}{b})^{n}=\frac{a^n}{b^n}
1 point
1
Question 4
4.
Which of the following rules are true?
Which of the following rules are true?
1 point
1
Question 5
5.
Decide if the statement of equality is true or false. Use the "show your work" box to prove or explain your answer.
(\frac{b}{a})^{-1}=\frac{a}{b}
Decide if the statement of equality is true or false. Use the "show your work" box to prove or explain your answer.
(\frac{b}{a})^{-1}=\frac{a}{b}