Classwork 2021-03-29

Posljednje ažuriranje over 2 years ago

Pitanje 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}

Classwork 2021-03-29

Posljednje ažuriranje over 2 years ago

Pitanje 1

Stavka koja se može prevući		Odgovarajuća stavka
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

Pitanje 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}

Pitanje 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}

Pitanje 4

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}

Pitanje 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}

Tačno

Netačno

Pitanje 1

Stavka koja se može prevući		Odgovarajuća stavka
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

Pitanje 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}

Pitanje 4

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}

Pitanje 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}

Tačno

Netačno

Classwork 2021-03-29

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}

Classwork 2021-03-29

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}

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}

Which of the following rules are true?

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}

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}

Which of the following rules are true?

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}

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}

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}

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}

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}

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}

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}