# Chapter 5 - Exponents and Polynomials - 5.2 - Multiplying Monomials - Problem Set 5.2 - Page 200: 46

$-x^{14}y^{21}$

#### Work Step by Step

Using $(cx^a)^b=c^bx^{ab}$, the given expression, $(-x^2y^3)^7 ,$ simplifies to \begin{array}{l}\require{cancel} (-1)^7 x^{2(7)}y^{3(7)} \\\\= -1x^{14}y^{21} \\\\= -x^{14}y^{21} .\end{array}

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