## Elementary Algebra

Published by Cengage Learning

# Chapter 5 - Exponents and Polynomials - 5.6 - Integral Exponents and Scientific Notation - Problem Set 5.6 - Page 223: 45

#### Answer

$x^{10}$

#### Work Step by Step

Using the laws of exponents, the given expression, $\dfrac{x^7}{x^{-3}} ,$ is equivalent to \begin{array}{l}\require{cancel} x^{7-(-3)} \\\\= x^{7+3} \\\\= x^{10} .\end{array} For more complicated problems, it is helpful to remember that you can flip the location of numbers with negative exponents. In other words, you can move numbers with a negative exponent that are in the numerator to the denominator, and you can move numbers with a negative exponent in the denominator to the numerator.

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