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Tenth Grade (Grade 10) Exponents Questions

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Grade 10 Exponents
Perform the indicated operation and simplify your answer.
[math](3x^2y^3)^3[/math]
  1. [math]27x^6y^9[/math]
  2. [math]27x^5y^6[/math]
  3. [math]9x^6y^4[/math]
  4. [math]9x^5y^6[/math]
Grade 10 Exponents
Simplify: [math]x^(2/3) (x^(1/4) )[/math]
  1. [math]x^(1/6)[/math]
  2. [math]x^(3/7)[/math]
  3. [math]x^(1/8)[/math]
  4. [math]x^(11/12)[/math]
  5. none of these are correct
Grade 10 Exponents CCSS: HSN-RN.A.2
Express the following in simplest radical form using only one radical sign.

[math]9^(1/2)*x^(3/2)*y^(5/4)[/math]
  1. [math]9sqrt(x^3y^(5/2))[/math]
  2. [math]3sqrt(x^3y^(5))[/math]
  3. [math]3sqrt(x^3y^(5/2))[/math]
  4. [math]sqrt(9x^3y^(5))[/math]
Grade 10 Exponents CCSS: HSN-RN.A.2
Express the following in simplest radical form using only one radical sign.
[math]27^(1/3)*x^(4/5)*y^(2/5)*z^(1/5)[/math]
  1. [math]3root5(x^4y^2z)[/math]
  2. [math]27root15(x^4y^2z)[/math]
  3. [math]root5(3x^4y^2z)[/math]
  4. [math]1/(3root5(x^4y^2z))[/math]
Grade 10 Exponents
Evaluate the following exponential expression: [math]49^(-3/2)[/math]
  1. [math]-7[/math]
  2. [math]1/343[/math]
  3. [math]-343[/math]
  4. [math]1/7[/math]
  5. none of these are correct
Grade 10 Exponents
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]
Grade 10 Exponents
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]
Grade 10 Exponents
Solve.
[math]8^(2x)=4^(x-1)[/math]
  1. [math]x=1/2[/math]
  2. [math]x=2/3[/math]
  3. [math]x=3/5[/math]
  4. [math]x=-1/2[/math]
Grade 10 Exponents
Simplify.

[math](16x^4)^(3/2)[/math]
  1. [math]64x^6[/math]
  2. [math]4x^6[/math]
  3. [math]64x^10[/math]
  4. [math]4x^10[/math]
Grade 10 Exponents
Solve.
[math](8^x)/4=(16^x)/(2^(2x-1))[/math]
  1. [math]x=3[/math]
  2. [math]x=6[/math]
  3. [math]x=4[/math]
  4. [math]x=-4[/math]
Grade 10 Exponents
Grade 10 Exponents
Grade 10 Exponents
Simplify.

[math](343x^6)^(1/3)[/math]
  1. [math]21x^6[/math]
  2. [math]7x^2[/math]
  3. [math]14x^2[/math]
  4. [math]7x^3[/math]
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