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Classwork 2021-03-29

Last updated over 2 years ago

5 questions

1

1

1

1

1

Question 1

1.

Draggable item		Corresponding Item

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.

Question 5

5.

x^0

x^6

x^{9}x^{-4}

x^8

\frac{x^{11}}{x^{11}}

x^{-2}

x^{9}+x^{-4}

1

x^{4}x^{2}

1

(x^{4})^2

x^{9}+x^{-4}

\frac{x^3}{x^5}

x^5

Which of the following rules are true?

(a^{m})^{n}=a^{m \cdot n}

(a^{m})^{n}=a^{m+n}

a^{m} \cdot a^{n}=a^{m \cdot n}

a^{m} \cdot a^{n}=a^{m + n}

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}

True

False