Sample quiz on multiplication and division of monomials
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1. Recall the definition of a monomial:
   
   a polynomial with one term
   a polynomial with two terms
   a polynomial with three terms
   a polynomial with many terms
   
2. Write $(x^3)(x)$ as a single power.
   
   $x^4$
   $3x^2$
   $3x^3$
   $3x^4$
3. Simplify $\frac{x^7}{x^4}$.
   
   $x^{28}$
   $x^{11}$
   $x^3$
   $x^{-3}$
4. Simplify $(2x^4)(3x^2)$.
   
   $6x^6$
   $6x^8$
   $6x^2$
   $2x^8$
5. Simplify $(3x^2)(-5x)$
   
   $15x^3$
   $15x^2$
   $-15x^2$
   $-15x^3$
6. Simplify $(3n^4)^2\times (2n^5)$
   
   $18n^9$
   $18n^{13}$
   $6n^{13}$
   $6n^9$
7. Simplify $\frac{12n^8}{3n^2}$
   
   $4n^{10}$
   $4n{16}$
   $4n^6$
   $36n^6$.
8. Simplify $\frac{(3n)^4}{n^3}$
   
   $81n^7$
   $3n^7$
   $3n$
   $81n$
9. Simplify $15a^8\times 2a^2$
   
   $30a^6$
   $30a^{16}$
   $30a^{10}$
   $30a^{-6}$
10. Simplify $\frac{2y^7}{4y^2}$
    
    $\frac{y^9}{2}$
    $2y^5$
    $\frac{y^5}{2}$
    $2y^9$