Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 5 - Exponents and Polynomials - 5.4 - Dividing by Monomials - Problem Set 5.4: 51

Answer

When we divide two monomials by each other, the exponents are subtracted, not divided. So, in our case, the exponents are 8 and 2. Because they must be subtracted, the exponent will be 8 - 2 = 6 and not 8 $\div$ 2 = 4. Consequently, the quotient will be $x^{6}$ and not $x^{4}$

Work Step by Step

When we divide two monomials by each other, the exponents are subtracted, not divided. So, in our case, the exponents are 8 and 2. Because they must be subtracted, the exponent will be 8 - 2 = 6 and not 8 $\div$ 2 = 4. Consequently, the quotient will be $x^{6}$ and not $x^{4}$
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