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Integer exponent rules Knowledge-Based Practice

Math · Number Sense & Operations · Math · Exponents & Scientific Notation

4 Math practice questions on Integer exponent rules. Questions that assess core concepts and understanding.

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Questions

  1. 1.

    What is the value of the expression 2−3+4−28−2\frac{2^{-3} + 4^{-2}}{8^{-2}} ?

    • A) 6
    • B) 9
    • C) 12
    • D) 16
  2. 2.

    Which integer value of nn satisfies the equation 4n⋅8−216−3=214\frac{4^n \cdot 8^{-2}}{16^{-3}} = 2^{14}?

    • A) 4
    • B) 7
    • C) 10
    • D) 13
  3. 3.

    Which of the following expressions is equivalent to (a−3b2)−2a4b−5\frac{(a^{-3}b^2)^{-2}}{a^4 b^{-5}} for all non-zero real numbers aa and bb?

    • A) a−10ba^{-10}b
    • B) a2b−9a^2 b^{-9}
    • C) a10b−1a^{10}b^{-1}
    • D) a2ba^2 b
  4. 4.

    What is the simplified value of the expression (3−2⋅35)−33−11\frac{(3^{-2} \cdot 3^5)^{-3}}{3^{-11}} written as a single power?

    • A) 3−23^{-2}
    • B) 323^2
    • C) 3−203^{-20}
    • D) 383^8

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