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Common Core Standard HSN-RN.A.2 Questions

Rewrite expressions involving radicals and rational exponents using the properties of exponents.

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Grade 11 Radicals CCSS: HSN-RN.A.2
[math]root3(16)+root3(32x^3)+root3(54p^8)+root3(40)[/math]
  1. [math]2root3(2)+2xroot3(4)+3p^2root3(2p^2)+2root3(5)[/math]
  2. [math]2xroot3(4)+5p^2root3(2)+2root3(5)[/math]
  3. [math]2root3(2)+2xroot3(4)+3p^2root3(2)+2root3(5)[/math]
  4. [math]root3(16)+root3(32x^3)+root3(54p^8)+root3(40)[/math]
Grade 9 Radicals CCSS: HSN-RN.A.2
Multiply. [math]sqrt(33p)sqrt(6p)[/math]
  1. [math]sqrt(198p^2)[/math]
  2. [math]3psqrt22[/math]
  3. [math]3sqrt(22p)[/math]
  4. [math]9p^2sqrt(22)[/math]
Grade 11 Radicals CCSS: HSN-RN.A.2
Simplify the radical expression. [math]root5 {:m^15n^50[/math]
  1. [math]m^10n^3[/math]
  2. [math]m^3n^10[/math]
  3. [math]m^-3n^-10[/math]
  4. [math]m^-10n^-3[/math]
Grade 10 Radicals CCSS: HSN-RN.A.2
Grade 10 Exponents CCSS: HSN-RN.A.2
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 Radicals CCSS: HSN-RN.A.2
Simplify: [math](sqrt(4x))/(2root[3](x))[/math]
  1. [math]x^(3/2)[/math]
  2. [math]x^(1/6)[/math]
  3. [math]1[/math]
  4. [math]1/x[/math]
  5. none of these are correct
Grade 10 Exponents CCSS: HSN-RN.A.2
Simplify. Assume that [math]y[/math] is positive. [math](49y^(-4/3))^(-1/2)[/math]
  1. [math]y^(2/3) / 7 [/math]
  2. [math]7 y^(2/3) [/math]
  3. [math]7/y^(11/6) [/math]
  4. [math]7/y^(8/3)[/math]
Grade 9 Radicals CCSS: HSN-RN.A.2
Grade 11 Radicals CCSS: HSN-RN.A.2
Simplify the radical expression. [math]3root3 {:135x^90y^120[/math]
  1. [math]9x^40y^30root3 5[/math]
  2. [math]5x^30y^40root3 9[/math]
  3. [math]9x^30y^40root3 5[/math]
  4. [math]5x^40y^30root3 9[/math]
Grade 11 Radicals CCSS: HSN-RN.A.2
Simplify completely. [math]sqrt(5a) +4sqrt(80a) + 5sqrt(180a)[/math]
  1. [math]47sqrt(265a)[/math]
  2. [math]47sqrt(5a)[/math]
  3. [math]9sqrt(5a)[/math]
  4. [math]9sqrt(265a)[/math]
Grade 10 Exponents CCSS: HSN-RN.A.2
Simplify. Assume [math]x[/math] is positive.

[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]
Grade 10 Radicals CCSS: HSN-RN.A.2
Simplify the following expression. [math]sqrt(125x^3)[/math]
  1. [math]5x[/math]
  2. [math]5x^3[/math]
  3. [math]5xsqrt(5x)[/math]
  4. [math]25sqrt(5x^3)[/math]
  5. none of these are correct
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 Radicals CCSS: HSN-RN.A.2
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