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Daniel Math Academy · Grade 8 Math

Simplify Monomials with Exponent Rules

Skill A.5 · Properties of exponents · ★★☆ Medium

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Simplify. Write each answer with positive exponents.

1. 1
   $\frac{-40n^4{x}^4}{8n^{2}x}=$ 
2. 2
   $(-2n^2{y}^5{)}^3=$ 
3. 3
   $(-3b^2{y}^4{)}^3=$ 
4. 4
   $(-3b^{7}x{)}^2=$ 
5. 5
   $(7m^5{y}^2)(8m^6{y}^3)=$ 
6. 6
   $(5b^{5}n)(3b^5{n}^5)=$ 
7. 7
   $(2a^6{m}^5{)}^3=$ 
8. 8
   $\frac{8m^5{n}^3}{2m^{3}n}=$ 
9. 9
   $(-2m^{6}x{)}^3=$ 
10. 10
    $\frac{42n^5{y}^5}{7n^3{y}^3}=$ 

Daniel Math Academy · Grade 8 Math

Answer Key

A.5 Simplify Monomials with Exponent Rules · ★★☆ Medium

1. 1$-5n^2{x}^3$
2. 2$-8n^6{y}^{15}$
3. 3$-27b^6{y}^{12}$
4. 4$9b^{14}{x}^2$
5. 5$56m^{11}{y}^5$
6. 6$15b^{10}{n}^6$
7. 7$8a^{18}{m}^{15}$
8. 8$4m^2{n}^2$
9. 9$-8m^{18}{x}^3$
10. 10$6n^2{y}^2$