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• Exponents and Logarithms
• 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 $$\frac{9^{12} \cdot 3^7}{27^6 \cdot 3^{10}}$$
 $3$ $9$ $27$ $81$