Back to 1.2 Exponents and Scientific Notation

1.2 Exercise 18

Avg difficulty 2.5

Simplify each expression and write the answer with positive exponents only.

  1. ⓐ ( 2u v −2 ) −3 \left(2 u v^{- 2}\right)^{−3}
  2. ⓑ x 8 ⋅ x −12 ⋅x x^{8} \cdot x^{−12} \cdot x
  3. ⓒ ( e 2 f −3 f −1 ) 2 \left(\frac{e^{2} f^{- 3}}{f^{−1}}\right)^{2}
  4. ⓓ ( 9 r −5 s 3 )( 3 r 6 s −4 ) \left(9 r^{−5} s^{3}\right) \left(3 r^{6} s^{−4}\right)
  5. ⓔ ( 4 9 t w −2 ) −3 ( 4 9 t w −2 ) 3 \left(\frac{4}{9} t w^{−2}\right)^{−3} \left(\frac{4}{9} t w^{−2}\right)^{3}
  6. ⓕ ( 2 h 2 k ) 4 ( 7 h −1 k 2 ) 2 \frac{\left(2 h^{2} k\right)^{4}}{\left(7 h^{−1} k^{2}\right)^{2}}

OpenStax Algebra and Trigonometry 2e, 1.2 Exponents and Scientific Notation, exercise 18

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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.