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Common Core Standard HSA-SSE.B.3c Questions

Use the properties of exponents to transform expressions for exponential functions. For example the expression 1.15t can be rewritten as (1.151/12)12t ≈ 1.01212t to reveal the approximate equivalent monthly interest rate if the annual rate is 15%.

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Grade 9 Exponents CCSS: HSA-SSE.B.3c
Evaluate: [math]x^{0}[/math]
  1. [math]0[/math]
  2. [math]1[/math]
  3. [math]x[/math]
  4. [math]x^2[/math]
  5. None of the above.
Grade 12 Exponents CCSS: HSA-SSE.B.3, HSA-SSE.B.3c
Rewrite the expression [math]21/(6^(2-2x))[/math] in the form [math]A*B^x[/math]
  1. [math]7/2*1/36^x[/math]
  2. [math]7/2*36^x[/math]
  3. [math]7/12*1/36^x[/math]
  4. [math]7/12*36^x[/math]
Grade 12 Exponents CCSS: HSA-SSE.B.3, HSA-SSE.B.3c
Rewrite the expression [math]8*(1/2)^(2x+3)[/math] in the form [math]A*B^x[/math]
  1. [math](1/4)^x[/math]
  2. [math]2*(1/8)^x[/math]
  3. [math]2*(1/4)^x[/math]
  4. [math]8*(1/8)^x[/math]
Grade 12 Exponents CCSS: HSA-SSE.B.3, HSA-SSE.B.3c
Rewrite the expression [math]6*2^(x-1)*4^(3-x)[/math] in the form [math]A*B^x[/math]
  1. [math]768*(1/2)^x[/math]
  2. [math]192*(1/2)^x[/math]
  3. [math]192*(1/4)^x[/math]
  4. [math]768*2^x[/math]
Grade 12 Exponents CCSS: HSA-SSE.B.3, HSA-SSE.B.3c
Rewrite the expression [math]2*4^(x+3)*2^(2-x)[/math] in the form [math]A*B^x[/math]
  1. [math]256*2^x[/math]
  2. [math]64*(1/2)^x[/math]
  3. [math]512*2^x[/math]
  4. [math]2*512^x[/math]
Grade 12 Exponents CCSS: HSA-SSE.B.3, HSA-SSE.B.3c
Which expression is equivalent to [math]8^(2x^2-3x+1)[/math] ?
  1. [math](8^(2x-1))^(x-1)[/math]
  2. [math]16^(x^2-3x+1)[/math]
  3. [math]64^(x^2-3x+1)[/math]
  4. [math]16^(x^2-1x+1)[/math]

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