Back to 1.2 Exponents and Scientific Notation

1.2 Exercise 14

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. ⓐ ( g 2 h 3 ) 5 \left(g^{2} h^{3}\right)^{5}
  2. ⓑ ( 5t ) 3 \left(5 t\right)^{3}
  3. ⓒ ( −3 y 5 ) 3 \left(−3 y^{5}\right)^{3}
  4. ⓓ 1 ( a 6 b 7 ) 3 \frac{1}{\left(a^{6} b^{7}\right)^{3}}
  5. ⓔ ( r 3 s −2 ) 4 \left(r^{3} s^{−2}\right)^{4}

OpenStax Algebra and Trigonometry 2e, 1.2 Exponents and Scientific Notation, exercise 14

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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.