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Using the Power of a Quotient Rule

Avg difficulty 2.5

Simplify each of the following quotients as much as possible using the power of a quotient rule. Write answers with positive exponents.

  1. ⓐ ( 4 z 11 ) 3 \left(\frac{4}{z^{11}}\right)^{3}
  2. ⓑ ( p q 3 ) 6 \left(\frac{p}{q^{3}}\right)^{6}
  3. ⓒ ( −1 t 2 ) 27 \left(\frac{−1}{t^{2}}\right)^{27}
  4. ⓓ ( j 3 k −2 ) 4 \left(j^{3} k^{−2}\right)^{4}
  5. ⓔ ( m −2 n −2 ) 3 \left(m^{−2} n^{−2}\right)^{3}

OpenStax Algebra and Trigonometry 2e, 1.2 Exponents and Scientific Notation, exercise 15

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Adapted from College Algebra © 2021 Rice University. Licensed under CC BY 4.0. Sources: College Algebra 2e, Algebra and Trigonometry 2e, Precalculus 2e, College Algebra with Corequisite Support 2e. Imported at revision 4922e46.