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Exponent Expressions with Negative Exponents (Grade 9)

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Exponent Expressions with Negative Exponents

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

1. 
Multiply.
[math]a^3*a^-2[/math]
  1. -a
  2. [math]a^-6[/math]
  3. [math]a^5[/math]
  4. a
2. 
Express with positive exponents.
[math]1/(a^-1b^-1[/math]
  1. [math]1/(ab[/math]
  2. [math] a^-1b^-1[/math]
  3. -ab
  4. [math]-1/(ab[/math]
  5. ab
3. 
Fully simplify the following: [math](x^(6))^2 * x^(-2)[/math]
  1. [math]x^6[/math]
  2. [math]x^12 x^-2[/math]
  3. [math]x^10[/math]
  4. [math]x^(-6)[/math]
4. 
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]
5. 
Which of the following expressions is equivalent to: [math](4x^-2)(3x^-7)[/math] ?
  1. [math]12x^9[/math]
  2. [math]12/x^9[/math]
  3. [math]1/(12x^9)[/math]
  4. [math]x^9/12[/math]
6. 
Which expression is equivalent to [math](5^-2a^3b^-4)^-1[/math] ?
  1. [math](10b^4)/a^3[/math]
  2. [math](25b^4)/a^3[/math]
  3. [math](a^3)/(25b^4[/math]
  4. [math](a^2)/(125b^5)[/math]
7. 
Simplify. [math]x^3y^-4x^2[/math]



8. 
Simplify the exponent expression.
[math](4x^3)^(-2)[/math]



9. 
Simplify. [math](b^{-2}/b^{4})^{-3} [/math]



10. 
Simplify. [math](a^(-3) b^(-6)) / (a^(-5) b^(-2))[/math]



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