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Back to 1.2 Exponents and Scientific Notation

Using the Negative Exponent Rule

Avg difficulty 2.5

Write each of the following quotients with a single base. Do not simplify further. Write answers with positive exponents.

  1. ⓐ θ 3 θ 10 \frac{\theta^{3}}{\theta^{10}}
  2. ⓑ z 2 ⋅z z 4 \frac{z^{2} \cdot z}{z^{4}}
  3. ⓒ ( −5 t 3 ) 4 ( −5 t 3 ) 8 \frac{\left(−5 t^{3}\right)^{4}}{\left(−5 t^{3}\right)^{8}}

OpenStax Algebra and Trigonometry 2e, 1.2 Exponents and Scientific Notation, exercise 9

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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.