Back to 5.2 Properties of Exponents and Scientific Notation

5.2 Exercise 32

Avg difficulty 2.5

Simplify each expression:

ⓐ (c4d2)5(3cd5)4\left(c^{4} d^{2}\right)^{5} \left(3 c d^{5}\right)^{4} ⓑ (a−2)3(a2)4(a4)5\frac{\left(a^{−2}\right)^{3} \left(a^{2}\right)^{4}}{\left(a^{4}\right)^{5}} ⓒ (3xy2x2y−3)2(9xy−3x3y2)−1.\left(\frac{3 x y^{2}}{x^{2} y^{−3}}\right)^{2} \left(\frac{9 x y^{−3}}{x^{3} y^{2}}\right)^{−1} .

OpenStax Intermediate Algebra 2e, 5.2 Properties of Exponents and Scientific Notation, exercise 32

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Adapted from Intermediate Algebra 2e © 2020 Rice University. Licensed under CC BY 4.0. Source: Intermediate Algebra 2e. Imported at revision 77a933c.