Back to 5.2 Properties of Exponents and Scientific Notation

5.2 Exercise 31

Avg difficulty 2.5

Simplify each expression by applying several properties:

ⓐ (3x2y)4(2xy2)3\left(3 x^{2} y\right)^{4} \left(2 x y^{2}\right)^{3} ⓑ (x3)4(x−2)5(x6)5\frac{\left(x^{3}\right)^{4} \left(x^{−2}\right)^{5}}{\left(x^{6}\right)^{5}} ⓒ (2xy2x3y−2)2(12xy3x3y−1)−1.\left(\frac{2 x y^{2}}{x^{3} y^{−2}}\right)^{2} \left(\frac{12 x y^{3}}{x^{3} y^{−1}}\right)^{−1} .

OpenStax Intermediate Algebra 2e, 5.2 Properties of Exponents and Scientific Notation, exercise 31

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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.