Algebra 1

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

Chapter 7 - Exponents and Exponential Functions - 7-3 Multipying Powers with the Same Base - Practice and Problem-Solving Exercises - Page 430: 50



Work Step by Step

The area of a triangle, Area = $\frac{1}{2}$ X $base$ X $height$ Hence, Area = $\frac{1}{2}$ X $2c^{3}$ X $4c$ This becomes : Area = $\frac{1}{2}$ X $8$ X $c^{3}$ X $c$ This becomes : Area =$4$ X $c^{3+1}$ (since the exponents are added while multipliying with the same base) Final result : Area = $4$ X $c^{4}$ = $4c^{4}$
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