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Exponents Questions - All Grades

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Grade 8 Exponents CCSS: 8.EE.A.1
Simplify using a single exponent. [math][(-2)^3]^4[/math]
  1. [math](-2)^7[/math]
  2. [math]-2^12[/math]
  3. [math]2^12[/math]
Grade 9 Exponents CCSS: HSN-RN.A.2
Express with positive rational exponents.

[math] root{3}{54 x^16 y^(-12)}[/math]
  1. [math] (3^(3/2) \ 2^(1/2) \ x^8 ) / (y^6) [/math]
  2. [math] ( 3x^5 \ (2x)^(1/3) ) / (y^4) [/math]
  3. [math] (3 \ 2^(1/3) y^4) / (x^(16/3) )[/math]
  4. [math] 3x^5y^4 (2x)^(1/3) [/math]
Grade 10 Exponents CCSS: HSN-RN.A.2
Simplify. Assume that [math]x[/math] is positive. [math] (( x^(1/2) \ x^(-5/4) ) / (x^(3/4)) ) ^(4/3)[/math]
  1. [math]1/x^6[/math]
  2. [math]1[/math]
  3. [math]x^(4/3)[/math]
  4. [math]1/x^2[/math]
Grade 9 Exponents
Simplify the following expression.

[math](-2)^3 * (-2)^1 * (-2)^2 * (-2)^6[/math]
  1. [math]-2^12[/math]
  2. [math](-2)^12[/math]
  3. [math]-2^36[/math]
  4. [math](-2)^36[/math]
Grade 9 Exponents CCSS: HSN-RN.A.1
Which of the following is a correct way to rewrite the expression [math]4^(-5/3)[/math] ? Choose all that apply.
  1. [math]root(3)(4^(-5))[/math]
  2. [math]-root(3)(4^5)[/math]
  3. [math]1 / (root(3)(4^5)) [/math]
  4. [math](root(3)(4))^(-5)[/math]
Grade 9 Exponents CCSS: HSN-RN.A.2
Express using radicals and integer exponents.

[math]( (2x)^(2/3) * (4xy)^(5/3) )^(1/3) [/math]
  1. [math]16 root{3}{2x^7 y^5}[/math]
  2. [math]2 root{9}{8x^7 y^5}[/math]
  3. [math] 2 root{9}{16 x^5 y^5}[/math]
  4. [math] 4 root{6}{ x^7 y^5} [/math]
Grade 6 Exponents CCSS: 6.EE.A.1
Grade 8 Exponents CCSS: 8.EE.A.1
Simplify the following expression (no negative exponents).
[math](3x^6y^3)^3[/math]
  1. [math]6x^9y^6[/math]
  2. [math]9x^9y^9[/math]
  3. [math]9x^18y^9[/math]
  4. [math]27x^18y^9[/math]
Grade 6 Exponents CCSS: 6.EE.A.1
Evaluate.
[math]3^0 + 12[/math]
  1. 15
  2. 13
  3. 36
  4. Impossible to complete
Grade 10 Exponents CCSS: HSN-RN.A.2
Simplify. Assume [math]m[/math] and [math]n[/math] are positive. [math]( m^(5/6) \ n^(3/2) ) / ( m^(4/7) \ n^(9/2))[/math]
  1. [math] ( m^(35/ 24) ) / ( n^(1/3) )[/math]
  2. [math] m^(59/42) / n^6 [/math]
  3. [math] (m^(11/42) ) / n^3 [/math]
  4. [math]m^(-10/21) n^(-27/4)[/math]
Grade 8 Exponents CCSS: 8.EE.A.1
Grade 8 Exponents CCSS: 8.EE.A.1
[math]6^15/6^3[/math]
  1. [math]1/6^12[/math]
  2. [math]1/6^18[/math]
  3. [math]6^5[/math]
  4. [math]6^12[/math]
Grade 10 Exponents CCSS: HSN-RN.A.2
Simplify. Assume [math]a[/math] and [math]b[/math] are positive. [math] a^(4/3) \ (a^(-1/2) b^(9/5))^(3/4) [/math]
  1. [math]a^(47/15) / b^(27/20) [/math]
  2. [math]a^(19/12) \ b^(51/20)[/math]
  3. [math]a^(5/8) \ b^(27/20)[/math]
  4. [math]a ^(23/24) b^(27/20) [/math]
Grade 5 Exponents CCSS: 5.NBT.A.2
Which value is equivalent to [math]5 xx 10^6?[/math]
  1. five thousand
  2. fifty thousand
  3. five million
  4. fifty million
Grade 6 Exponents CCSS: 6.EE.A.1
Write 6 x 6 x 6 x 6 x 6 in exponential form.
  1. [math]5^6[/math]
  2. [math]6^6[/math]
  3. [math]6^5[/math]
  4. [math]6^4[/math]
Grade 8 Exponents CCSS: 8.EE.A.1
Which one of the following is true?
  1. [math]4^-2 < 4^-3[/math]
  2. [math]5^-2 > 2 ^ -5[/math]
  3. [math](-2)^4 = 2^-4[/math]
  4. [math]5^2(5)^-2>2^5(2)^-5[/math]
Grade 6 Exponents CCSS: 6.EE.A.1
Grade 10 Exponents CCSS: HSN-RN.A.2
Simplify: [math]x^(2/3) (x^(1/4) )[/math]. Assume [math]x[/math] is positive.
  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
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