Back to 1.2 Exponents and Scientific Notation

Using the Power of a Product Rule

Avg difficulty 2.5

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

  1. ⓐ ( a b 2 ) 3 \left(a b^{2}\right)^{3}
  2. ⓑ ( 2t ) 15 \left(2 t\right)^{15}
  3. ⓒ ( −2 w 3 ) 3 \left(−2 w^{3}\right)^{3}
  4. ⓓ 1 ( −7z ) 4 \frac{1}{\left(−7 z\right)^{4}}
  5. ⓔ ( e −2 f 2 ) 7 \left(e^{−2} f^{2}\right)^{7}

OpenStax Algebra and Trigonometry 2e, 1.2 Exponents and Scientific Notation, exercise 13

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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.