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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 9 Radicals CCSS: HSN-RN.A.2
Grade 9 Radicals CCSS: HSN-RN.A.2
Grade 11 Radicals CCSS: HSN-RN.A.2
Simplify the radical expression. [math]root3{:27x^4y^5[/math]
  1. [math]3xyroot3{:xy^2[/math]
  2. [math]5xyroot3{:xy^2[/math]
  3. [math]3xyroot3{:xy[/math]
  4. [math]3xy^2sqrtx[/math]
Grade 9 Radicals CCSS: HSN-RN.A.2
Simplify the radical expression [math]sqrt(28)[/math].
  1. [math]7sqrt(2)[/math]
  2. [math]4sqrt(7)[/math]
  3. [math]2sqrt(7)[/math]
  4. [math]4sqrt(2)[/math]
Grade 10 Radicals CCSS: HSN-RN.A.2
Simplify. [math]sqrt360[/math]
  1. [math]3sqrt40[/math]
  2. [math]9sqrt20[/math]
  3. [math]12sqrt10[/math]
  4. [math]6sqrt10[/math]
Grade 9 Radicals CCSS: HSN-RN.A.2
Simplify.
[math]sqrt50[/math]
  1. [math]25[/math]
  2. [math]sqrt10 sqrt5[/math]
  3. [math]sqrt2 sqrt5[/math]
  4. [math]5sqrt2[/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 9 Radicals CCSS: HSN-RN.A.2
Grade 11 Radicals CCSS: HSN-RN.A.2
Simplify. [math]root3(27x^10)[/math]
  1. [math]27x^10[/math]
  2. [math]root3(27x^10)[/math]
  3. [math]3root3(x^10)[/math]
  4. [math](3x^3)root3x[/math]
Grade 11 Radicals CCSS: HSN-RN.A.2
Simplify the radical expression. [math]sqrt{:15x^3) * sqrt{:15x^5[/math]
  1. [math]sqrt{:15x^4[/math]
  2. [math]15x^4[/math]
  3. [math]x^4sqrt30[/math]
  4. [math]sqrt{:225x^8[/math]
Grade 9 Radicals CCSS: HSN-RN.A.2
Simplify radical expression [math]sqrt(72)[/math].
  1. [math]3sqrt(2)[/math]
  2. [math]4sqrt(18)[/math]
  3. [math]2sqrt(6)[/math]
  4. [math]6sqrt(2)[/math]
Grade 11 Exponents CCSS: HSN-RN.A.2
Evaluate. [math](1/27)^(-2/3)[/math]
  1. -3
  2. 9
  3. [math]1/3[/math]
  4. [math]-1/9[/math]
Grade 9 Radicals CCSS: HSN-RN.A.2
Simplify.
[math]root3 24[/math]
  1. [math]4root3 6[/math]
  2. [math]3root3 4[/math]
  3. [math]2root3 3[/math]
  4. [math]6root3 2[/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]
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