Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 7 - Exponents and Exponential Functions - 7-1 Zero and Negative Exponents - Practice and Problem-Solving Exercises: 68

Answer

$\frac{141}{m^2}$

Work Step by Step

We aim for similar denominators so that we can add the two fractions together. We can get our desired result by changing negative exponents into positive exponents by flipping them over the fraction. $\frac{6}{m^2}+\frac{5m^{-2}}{3^{-3}} = \frac{6}{m^2} + \frac{5*3^3}{m^2} = \frac{6+5*3^3}{m^2} = \frac{141}{m^2}$
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