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Exponent Rules - Quotient Rule (Grade 9)

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Exponent Rules - Quotient Rule

Instructions: Assume all variables are positive. Express answers with positive exponents.

1. 
Simplify: [math](x^10)/(8x^5).[/math]
  1. [math](x^5)/8[/math]
  2. [math](1)/(8x^5)[/math]
  3. [math]8x^5[/math]
  4. [math](8)/(x^5)[/math]
 
2. 
Simplify. [math](a)/(b^2) * (b^3)/(a)[/math]
  1. [math]a^2b^5[/math]
  2. [math]a^0b^1[/math]
  3. [math]b[/math]
  4. [math]b^3[/math]
3. 
Simplify. Choose the best answer.
[math](32a^4b^2)/(8a^3b^2)[/math]
  1. [math]4ab^0[/math]
  2. [math]4a[/math]
  3. [math](4)/(16ab^4)[/math]
  4. [math]4ab^4[/math]
 
4. 
Simplify.
[math](9 x^4 y ^5)/(6 x^2y^10)[/math]
  1. [math](9 x^2 y^5)/(6)[/math]
  2. [math](3x^2y^5)/(2)[/math]
  3. [math](3 x^2)/(2y^5)[/math]
  4. [math](3x^2 )/(2y^-5)[/math]
5. 
Simplify. [math](64x^5)/(4x^2)[/math]



 
6. 
Simplify.
[math](36d^10)/(6d^5)[/math]



7. 
Simplify. [math](m^3 n^-2)/(m^2 n^4)[/math]



 
8. 
Simplify:

[math](x^6y^9z^8)/(x^2y^3)[/math]





9. 
Divide: [math](x^5y^3z^2)/(x^3y^2z)[/math]



 
10. 
Simplify. [math] (a^3 b c^6) / (a^0 b^3 c^2) [/math]



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