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Classwork 2021-03-29

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Last updated about 2 years ago
5 questions
1
1
1
1
1
Question 1
1.
Draggable itemarrow_right_altCorresponding Item
x^{4}x^{2}
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x^6
x^0
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x^8
\frac{x^3}{x^5}
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x^{-2}
x^{9}x^{-4}
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1
\frac{x^{11}}{x^{11}}
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1
x^{9}+x^{-4}
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x^{9}+x^{-4}
(x^{4})^2
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x^5
Question 2
2.

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}

Question 3
3.

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}

Question 4
4.

Which of the following rules are true?

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}