Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 6 - Radical Functions and Rational Exponents - 6-4 Rational Exponents - Practice and Problem-Solving Exercises - Page 388: 92

Answer

$9$

Work Step by Step

When one exponential term is divided by another exponential term with the same base, subtract the exponents, keeping the base as-is: $3^{(3 + \sqrt 5) - (1 + \sqrt 5)}$ Group like terms in the exponent: $3^{(3 - 1) + (\sqrt 5 - \sqrt 5)}$ Combine like terms: $3^{2}$ Evaluate the expression: $9$
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