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Tenth Grade (Grade 10) Exponents Questions

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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 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 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 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
Grade 10 Exponents CCSS: HSN-RN.A.2
Simplify. Assume [math]b[/math] is positive. [math]( b^(1/4) \ b^(5/4))^(2/3)[/math]
  1. [math]b^(13/6)[/math]
  2. [math]b^(5/24)[/math]
  3. [math]b[/math]
  4. [math]4^(1/3) b [/math]
Grade 10 Exponents CCSS: HSN-RN.A.2
Simplify. Assume [math]x >0[/math]. [math]root{3}{16x^5} / sqrt(36 x^8) [/math]
  1. [math]2/(3sqrt(x^3)[/math]
  2. [math] root{3}{2x^2} / (3x^3)[/math]
  3. [math]root{3}{4/9} \ x^(-1) [/math]
  4. [math]root{3}{16} / (6x^4) [/math]
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 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 Exponents
Simplify.
[math]4x^2*6x^3[/math]
  1. [math]10x^5[/math]
  2. [math]24x^5[/math]
  3. [math]24x^6[/math]
  4. [math]10x^6[/math]
Grade 10 Exponents CCSS: HSN-RN.A.2
Evaluate the following 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
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