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Exponents Questions - All Grades

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Grade 9 Exponents CCSS: HSN-RN.A.1
Which of the following is a reason why, when dealing with an equation or expression, one would switch from using radical notation (square roots, cube roots, etc), to rational exponents? Choose all correct answers.
  1. One can use exponent laws to simplify the expression or equation. For example, 3x6x9 becomes x63x92=x2+92=x42+92=x132.
  2. It avoids the issue of complex numbers. For example, -2 is complex, namely 2i where i is the square root of -1, but changing this into a rational exponent, -212, it is no longer complex.
  3. For an expression or equation with division, once the radical has been converted to a rational exponent, the factors can be more easily divided. For example, 8x744x3 becomes 8x724x34=2x72-34=2x144-34=2x114.
  4. Using rational exponents can lead to easier forms for evaluation. For example, 346 can be written as 463=42, which can then be easily evaluated.
Grade 6 Exponents
To square a number is to use what mathematical operation?
  1. Multiplication
  2. Division
  3. Subtraction
  4. Addition
Grade 6 Exponents CCSS: 6.EE.A.1
What is the power to this problem?
6 x 6 x 6 x 6 x 6 x 6 x 6
  1. 6 to the 7th power
  2. 6 to the 8th power
  3. 7 to the 9th power
  4. 10 to the 5th power
Grade 11 Exponents CCSS: HSN-RN.A.2
Evaluate. (127)-23
  1. -3
  2. 9
  3. 13
  4. -19
Grade 6 Exponents CCSS: 6.EE.A.1
Find the equivalent expression.

9 x 9 x 9 x 9 x 9
  1. 95
  2. 915
  3. 9 x 4
  4. 9 + 9 + 9 + 9
Grade 5 Exponents CCSS: 5.NBT.A.2
Grade 8 Exponents
Simplify. (x4)5
  1. x-1
  2. x9
  3. x10
  4. x20
Grade 11 Exponents CCSS: HSN-RN.A.2
Simplify. Assume x and y are positive. x2yx34y13
  1. x54y23
  2. x1114y43
  3. x32y13
  4. x12y13
Grade 6 Exponents CCSS: 6.EE.A.1
Grade 8 Exponents CCSS: 8.EE.A.1
Grade 6 Exponents
What is the number used as a factor in a power?
  1. Exponent
  2. Term
  3. Base
  4. Coefficients
Grade 9 Exponents
Simplify: 15x2y20xy2
  1. 3x4y
  2. 3x3y34
  3. 916y
  4. x5y
Grade 10 Exponents CCSS: HSN-RN.A.2
Simplify. Assume x>0. 316x536x8
  1. 23x3
  2. 32x23x3
  3. 349 x-1
  4. 3166x4
Grade 6 Exponents CCSS: 6.EE.A.1
Grade 9 Exponents
Simplify (2r)2.
  1. 22+r2
  2. 4r
  3. 4r2
  4. 16
Grade 6 Exponents CCSS: 6.EE.A.1
Evaluate 4×30.
  1. 12
  2. 7
  3. 4
  4. Impossible to complete.
Grade 6 Exponents CCSS: 6.EE.A.1
Which one shows the numbers in order from smallest to biggest?
  1. 100,32,23,61
  2. 61,23,32,101
  3. 22,100,61,32
  4. 61,100,32,23
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