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Simplifying Monomial Expressions

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Simplifying Monomial Expressions Answer Key

Instructions: Simplify. Assume denominators do not equal zero.

1. 
Simplify the expression [math]b^4 * b^2[/math].
  1. [math]b^16[/math]
  2. [math]b^6[/math]
  3. [math]b^2[/math]
  4. [math]b^8[/math]
 
2. 
Simplify:
[math]b^5*b^4*b^2[/math]
  1. [math]b^10[/math]
  2. [math]b^40[/math]
  3. [math]b^11[/math]
  4. [math]b^12[/math]
3. 
Simplify.
[math]v^3*v^5*v^7*w^2*w^4[/math]
  1. [math]v^6w^15[/math]
  2. [math]v^15w^6[/math]
  3. [math]vw[/math]
  4. [math]v^10w^7[/math]
 
4. 
Simplify.
[math](-3x^4y^2)^3[/math]
  1. [math]-27x^12y^6[/math]
  2. [math]-27xy[/math]
  3. [math]-27x^7y^ [/math]
  4. [math]-27x^7y^6[/math]
5. 
[math](-3x^2y^5)^2[/math]
  1. [math]9x^2y^10[/math]
  2. 9xy
  3. [math]9x^4y[/math]
  4. [math]9x^4y^10[/math]
 
6. 
Simplify.
[math]x^30/x^-10[/math]
  1. [math]x^20[/math]
  2. [math]x^10[/math]
  3. [math]1/x^10[/math]
  4. [math]x^40[/math]
7. 
[math](6x^5y^3)/
(16x^2y^5)[/math]
  • [math](3x^3)/
    (8y^2)[/math]
 
8. 
[math]m^12 -: m^3[/math]
  • [math]m^9[/math]
9. 
[math]3m^2(4m^3)^2[/math]
  • [math]48m^8[/math]
 
10. 
[math](5x^3)^3*x*2x[/math]
  • [math]250x^11[/math]
11. 
[math] 3x^3 * 4x^5 = [/math]
  • [math]12x^8[/math]
 
12. 
[math][(p m^3)/q^6]^4[/math]
  • [math](p^4m^12)/q^24[/math]
13. 
[math]3b^6*7b^6[/math]
  • [math]-28b^9[/math]
 
14. 
[math](3y^7x^3)/(12yx^5)[/math]
  • [math](y^6)/(4x^2)[/math]
15. 
[math](x^12)/(4x^5)[/math]
  • [math]x^5/8[/math]
 
16. 
[math]5x^2*2x^4[/math]
  • [math]10x^6[/math]
17. 
[math]20x^24-:10x^6[/math]
  • [math]2x^18[/math]
 
18. 
[math]3x^4*5x^2[/math]
  • [math]15x^6[/math]
19. 
[math]7n^2*n*(4n^2)^3[/math]
  • [math]448n^9[/math]
 
20. 
[math]6x*(5x^4)^3[/math]
  • [math]750x^13[/math]
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