EBK PRECALCULUS:GRAPHICAL,...-NASTA ED.
EBK PRECALCULUS:GRAPHICAL,...-NASTA ED.
10th Edition
ISBN: 9780135795910
Author: Demana
Publisher: PEARSON CO
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Chapter P.1, Problem 52E
Solution

To simplify the expression 4a3ba2b33b22a2b4 .

  6ab4

Given:

The expression, 4a3ba2b33b22a2b4 .

Concept Used:

Exponent Properties:

  • Product property: am⋅an=am+n
  • Quotient property: aman=am−n
  • Power of a power property: amn=am⋅n
  • Power to product property: abn=an⋅bn
  • Negative exponent property: a−n=1an

Calculation:

In order to solve the given expression 4a3ba2b33b22a2b4 , use the exponent properties and simplify further as shown below,

  4a3ba2b33b22a2b4=4⋅a3a2⋅bb332⋅1a2⋅b2b4=4⋅a3−2⋅b1−332⋅1a2⋅b2−4=4⋅a1⋅b−232⋅1a2⋅b−2=4⋅a⋅1b232⋅1a2⋅1b2=4ab232a2b2=4a⋅3b2⋅2a2b2=122⋅a1−2b2+2=6⋅a−1b4=6ab4

Therefore, the simplified expression is 6ab4 .

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Chapter P.1, Problem 51E
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Chapter P.1, Problem 53E

Chapter P Solutions

EBK PRECALCULUS:GRAPHICAL,...-NASTA ED.

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