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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 $$\frac{9^{12} \cdot 3^7}{27^6 \cdot 3^{10}}$$

    $3$

    $9$

    $27$

    $81$