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Eleventh Grade (Grade 11) Exponents Questions

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Grade 11 Exponents
Solve. [math]5^(3x-1)*5^(2x-5)=5^(x+6)[/math]
  1. [math]x = 0[/math]
  2. [math]x = 1/5[/math]
  3. [math]x = 2[/math]
  4. [math]x = 3[/math]
Grade 11 Exponents
Solve. [math]64^x=8^(3x+1)[/math]
  1. [math]x = 1[/math]
  2. [math]x = -1[/math]
  3. [math]x = 1/5[/math]
  4. [math]x = -1/5[/math]
Grade 11 Exponents
Solve for [math]x[/math]. [math]3^(2x) = 27^(4)[/math]
  1. [math]6[/math]
  2. [math]7/2[/math]
  3. [math]32[/math]
  4. [math]4[/math]
Grade 11 Exponents
Simplify. [math](2x)^4/(2x^4)[/math]
  1. [math] 8, \ x!=0 [/math]
  2. [math] 4 [/math]
  3. [math] 2, \ x!=0 [/math]
  4. [math] 1 [/math]
Grade 11 Exponents CCSS: HSF-LE.A.2
What is the equation of the exponential function in the following graph? Assume that the scale of both axes is one unit.
Graph - Exponent Function y=5^x
  1. [math]f(x) = 2^x[/math]
  2. [math]f(x) = 2^x + 3[/math]
  3. [math]f(x) = 5^x[/math]
  4. [math]f(x) = 10^x - 5[/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 11 Exponents
Solve for [math]x[/math]. [math]16^(x-2) = 64^(2x-2)[/math]
  1. [math]-1/2[/math]
  2. [math]2[/math]
  3. [math]-5/2[/math]
  4. [math]1/2[/math]
Grade 11 Exponents CCSS: HSN-RN.A.2
Simplify. Assume [math]x[/math] and [math]y[/math] are positive. [math](x^2y)/(x^(3/4)y^(1/3)[/math]
  1. [math]x^(5/4)y^(2/3)[/math]
  2. [math]x^(11/14)y^(4/3)[/math]
  3. [math]x^(3/2)y^(1/3)[/math]
  4. [math]x^(1/2)y^(1/3)[/math]
Grade 11 Exponents CCSS: HSN-RN.A.2
Evaluate. [math]81^(3/4)[/math]
  1. 27
  2. 9
  3. 3
  4. 1/9
Grade 11 Exponents
Solve. [math]1/216=36^(3x+6)[/math]
  1. [math]x = -11/5[/math]
  2. [math]x = -1[/math]
  3. [math]x = -2/5[/math]
  4. [math]x = -5/2[/math]
Grade 11 Exponents CCSS: HSN-RN.A.2
Write [math]root7 {: x^4[/math] as a rational exponent.
  1. [math]x^(7/4)[/math]
  2. [math]x^4[/math]
  3. [math]x^(4/7)[/math]
  4. [math]x^7[/math]
Grade 11 Exponents CCSS: HSF-LE.A.2
What is the equation of the exponential function graphed below? Assume that the scale of both axes is one unit.
Graph - Exponent Function y=2^x
  1. [math]f(x) = 2^x[/math]
  2. [math]f(x) = 10^x[/math]
  3. [math]f(x) = e^x[/math]
  4. Not enough information
Grade 11 Exponents CCSS: HSN-RN.A.2
Simplify [math](4x^4y)^(3/2)[/math]. Assume [math]x[/math] and [math]y[/math] are positive.
  1. [math]4x^6y^(3/2)[/math]
  2. [math]8x^6y^(3/2)[/math]
  3. [math]4x^4y^(3/2)[/math]
  4. [math]2x^6y^(3/2)[/math]
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