College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter P - Prerequisites: Fundamental Concepts of Algebra - Exercise Set P.3: 141

Answer

8 years old

Work Step by Step

$$2^{\frac{5}{2}} \times 2^{\frac{3}{4}} \div 2^{\frac{1}{4}}$$ Since the three numbers have the same base ($2$), we can use the properties of exponents to combine them as follows: $$2^{\frac{5}{2} + \frac{3}{4} - \frac{1}{4}}$$ Focusing on the fractions for a moment, we only have to find the common denominator ($4$) to solve the expression: $$(\frac{5}{2} \times \frac{2}{2}) + \frac{3}{4} - \frac{1}{4}$$ $= \frac{10}{4} + \frac{3}{4} - \frac{1}{4}$ $= \frac{12}{4}$ $=3$ Therefore, the answer is $2^3 = 8$ years old.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.