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Tests in Exponents
Positive exponents test
Positive exponents test
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Question 1:
1 pts
Identify exponent and base in $3^2$.
$exp =3$ $base=2$
$exp =2$ $base=3$
Question 2:
1 pts
Is the following expression true or false? $a \cdot a \cdot a \cdot a = 4^a$
Question 3:
1 pts
Write the expression using exponents: $a \cdot a \cdot a \cdot b \cdot b$
$3^a \cdot 2^b$
$a^3 \cdot 2^b$
$a^3 \cdot b^2$
$3^a \cdot b^2$
Question 4:
2 pts
Is the following expression true or false? $5^2 \cdot 5^3 = 5^6$
Question 5:
2 pts
Is the following expression true or false? $3^5 \cdot 3^3 = 9^8$
Question 6:
2 pts
Which of the following expressions is true?
$-1^{10} = 1$
$-(-1)^{11} = -1$
$(-1)^4=-1$
$-(-1)^{12} = -1$
Question 7:
2 pts
Simplify expression $a^2 \cdot b^3 \cdot a^3 \cdot b$
$a^5 \cdot b^4$
$a^6 \cdot b^3$
$a^6 \cdot b^4$
$a^5 \cdot b^3$
Question 8:
2 pts
Is the following expression true or false? $$3231^0 = 1$$
Question 9:
2 pts
Which of the following expressions is true?
$-6^0=1$
$0^0=1$
$(-6)^0=0$
$(-6)^0=1$
Question 10:
2 pts
Simplify expression $$\frac{a^9}{a^3}$$
$a^6$
$a^{12}$
$a^3$
Question 11:
2 pts
Is the following expression true or false? $$(a^3)^2=a^5$$
Question 12:
3 pts
Simplify expression $$\frac{(2^4)^3}{(2^2)^5}.$$
$\frac14$
$-4$
$4$
$-\frac14$
Question 13:
3 pts
Simplify expression $$\frac{a^7(b^3)^2}{(a^2)^3b^5}.$$
$ab$
$\frac{a}{b}$
$\frac{b}{a}$
$a^2b$
Question 14:
3 pts
Simplify expression $$\frac{9^{12} \cdot 3^7}{27^6 \cdot 3^{10}}$$
$3$
$9$
$27$
$81$
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Positive exponents test
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Logarithms
Logarithm definition
Basic properties of Logarithms
Basic logarithms identities
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