Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00 Edition
ISBN: 9780395977224
Author: Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher: McDougal Littell
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Chapter 7.9, Problem 21WE
To determine

To calculate: The simplified form of the expression (313)2 .

Expert Solution & Answer
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Answer to Problem 21WE

The simplified form of the expression (313)2 is 181 .

Explanation of Solution

Given information:

The expression (313)2 .

Formula used:

Law of exponent for power of quotient is (ab)n=anbn where a andb are nonzero integers and n is a positive integer.

The expression an is expressed as 1an where a is a nonzero real number and n is a positive integer.

Law of exponent for power of power is (am)n=amn where a is a nonzero integers and n and m are positive integers.

Law of exponent for quotient of powers is am÷an=amn where a is a nonzero integers and n and m are positive integers.

Calculation:

Consider the expression (313)2 .

Recall that law of exponent for power of quotient is (ab)n=anbn where a andb are nonzero integers and n is a positive integer.

Apply it,

  (313)2=(31)232

Recall that law of exponent for power of power is (am)n=amn where a is a nonzero integers and n and m are positive integers.

Apply it,

  (313)2=(31)232=3232

Recall that law of exponent for quotient of powers is am÷an=amn where a is a nonzero integers and n and m are positive integers.

Apply it,

  (313)2=(31)232=3232=322=34

Recall that expression an is expressed as 1an where a is a nonzero real number and n is a positive integer.

Apply it,

  (313)2=34=134=181

Thus, the simplified form of the expression (313)2 is 181 .

Chapter 7 Solutions

Algebra: Structure And Method, Book 1

Ch. 7.1 - Prob. 11OECh. 7.1 - Prob. 12OECh. 7.1 - Prob. 1WECh. 7.1 - Prob. 2WECh. 7.1 - Prob. 3WECh. 7.1 - Prob. 4WECh. 7.1 - Prob. 5WECh. 7.1 - Prob. 6WECh. 7.1 - Prob. 7WECh. 7.1 - Prob. 8WECh. 7.1 - Prob. 9WECh. 7.1 - Prob. 10WECh. 7.1 - Prob. 11WECh. 7.1 - Prob. 12WECh. 7.1 - Prob. 13WECh. 7.1 - Prob. 14WECh. 7.1 - Prob. 15WECh. 7.1 - Prob. 16WECh. 7.1 - Prob. 17WECh. 7.1 - Prob. 18WECh. 7.1 - Prob. 19WECh. 7.1 - Prob. 20WECh. 7.1 - Prob. 21WECh. 7.1 - Prob. 22WECh. 7.1 - Prob. 23WECh. 7.1 - Prob. 24WECh. 7.1 - Prob. 25WECh. 7.1 - Prob. 26WECh. 7.1 - Prob. 27WECh. 7.1 - Prob. 28WECh. 7.1 - Prob. 29WECh. 7.1 - Prob. 30WECh. 7.1 - Prob. 31WECh. 7.1 - Prob. 32WECh. 7.1 - Prob. 33WECh. 7.1 - Prob. 34WECh. 7.1 - Prob. 35WECh. 7.1 - Prob. 36WECh. 7.1 - Prob. 37WECh. 7.1 - Prob. 38WECh. 7.1 - Prob. 39WECh. 7.1 - Prob. 40WECh. 7.1 - Prob. 41WECh. 7.1 - Prob. 42WECh. 7.1 - Prob. 43WECh. 7.1 - Prob. 44WECh. 7.1 - Prob. 45WECh. 7.1 - Prob. 1PCh. 7.1 - Prob. 2PCh. 7.1 - Prob. 3PCh. 7.1 - Prob. 4PCh. 7.1 - 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Prob. 22OECh. 7.9 - Prob. 23OECh. 7.9 - Prob. 24OECh. 7.9 - Prob. 25OECh. 7.9 - Prob. 1WECh. 7.9 - Prob. 2WECh. 7.9 - Prob. 3WECh. 7.9 - Prob. 4WECh. 7.9 - Prob. 5WECh. 7.9 - Prob. 6WECh. 7.9 - Prob. 7WECh. 7.9 - Prob. 8WECh. 7.9 - Prob. 9WECh. 7.9 - Prob. 10WECh. 7.9 - Prob. 11WECh. 7.9 - Prob. 12WECh. 7.9 - Prob. 13WECh. 7.9 - Prob. 14WECh. 7.9 - Prob. 15WECh. 7.9 - Prob. 16WECh. 7.9 - Prob. 17WECh. 7.9 - Prob. 18WECh. 7.9 - Prob. 19WECh. 7.9 - Prob. 20WECh. 7.9 - Prob. 21WECh. 7.9 - Prob. 22WECh. 7.9 - Prob. 23WECh. 7.9 - Prob. 24WECh. 7.9 - Prob. 25WECh. 7.9 - Prob. 26WECh. 7.9 - Prob. 27WECh. 7.9 - Prob. 28WECh. 7.9 - Prob. 29WECh. 7.9 - Prob. 30WECh. 7.9 - Prob. 31WECh. 7.9 - Prob. 32WECh. 7.9 - Prob. 33WECh. 7.9 - Prob. 34WECh. 7.9 - Prob. 35WECh. 7.9 - Prob. 36WECh. 7.9 - Prob. 37WECh. 7.9 - Prob. 38WECh. 7.9 - Prob. 39WECh. 7.9 - Prob. 40WECh. 7.9 - Prob. 41WECh. 7.9 - Prob. 42WECh. 7.9 - Prob. 43WECh. 7.9 - Prob. 44WECh. 7.9 - Prob. 45WECh. 7.9 - Prob. 46WECh. 7.9 - Prob. 47WECh. 7.9 - Prob. 48WECh. 7.9 - Prob. 49WECh. 7.9 - Prob. 50WECh. 7.9 - Prob. 51WECh. 7.9 - Prob. 52WECh. 7.9 - Prob. 53WECh. 7.9 - Prob. 54WECh. 7.9 - Prob. 55WECh. 7.9 - Prob. 56WECh. 7.9 - Prob. 57WECh. 7.9 - Prob. 58WECh. 7.9 - Prob. 59WECh. 7.9 - Prob. 60WECh. 7.9 - Prob. 61WECh. 7.9 - Prob. 62WECh. 7.9 - Prob. 63WECh. 7.9 - Prob. 64WECh. 7.9 - Prob. 65WECh. 7.9 - Prob. 66WECh. 7.9 - Prob. 67WECh. 7.9 - Prob. 68WECh. 7.9 - Prob. 69WECh. 7.9 - Prob. 70WECh. 7.9 - Prob. 71WECh. 7.9 - Prob. 1PCh. 7.9 - Prob. 2PCh. 7.9 - Prob. 3PCh. 7.9 - Prob. 4PCh. 7.9 - Prob. 5PCh. 7.9 - Prob. 1MRECh. 7.9 - Prob. 2MRECh. 7.9 - Prob. 3MRECh. 7.9 - Prob. 4MRECh. 7.9 - Prob. 5MRECh. 7.9 - Prob. 6MRECh. 7.9 - Prob. 7MRECh. 7.9 - Prob. 8MRECh. 7.9 - Prob. 9MRECh. 7.10 - Prob. 1OECh. 7.10 - Prob. 2OECh. 7.10 - Prob. 3OECh. 7.10 - Prob. 4OECh. 7.10 - Prob. 5OECh. 7.10 - Prob. 6OECh. 7.10 - Prob. 7OECh. 7.10 - Prob. 8OECh. 7.10 - Prob. 9OECh. 7.10 - Prob. 10OECh. 7.10 - Prob. 11OECh. 7.10 - Prob. 12OECh. 7.10 - Prob. 13OECh. 7.10 - Prob. 14OECh. 7.10 - Prob. 15OECh. 7.10 - Prob. 16OECh. 7.10 - Prob. 17OECh. 7.10 - Prob. 18OECh. 7.10 - Prob. 19OECh. 7.10 - Prob. 20OECh. 7.10 - Prob. 21OECh. 7.10 - Prob. 22OECh. 7.10 - Prob. 23OECh. 7.10 - Prob. 24OECh. 7.10 - Prob. 1WECh. 7.10 - Prob. 2WECh. 7.10 - Prob. 3WECh. 7.10 - Prob. 4WECh. 7.10 - Prob. 5WECh. 7.10 - Prob. 6WECh. 7.10 - Prob. 7WECh. 7.10 - Prob. 8WECh. 7.10 - Prob. 9WECh. 7.10 - Prob. 10WECh. 7.10 - Prob. 11WECh. 7.10 - Prob. 12WECh. 7.10 - Prob. 13WECh. 7.10 - Prob. 14WECh. 7.10 - Prob. 15WECh. 7.10 - Prob. 16WECh. 7.10 - Prob. 17WECh. 7.10 - Prob. 18WECh. 7.10 - Prob. 19WECh. 7.10 - Prob. 20WECh. 7.10 - Prob. 21WECh. 7.10 - Prob. 22WECh. 7.10 - Prob. 23WECh. 7.10 - Prob. 24WECh. 7.10 - Prob. 25WECh. 7.10 - Prob. 26WECh. 7.10 - Prob. 27WECh. 7.10 - Prob. 28WECh. 7.10 - Prob. 29WECh. 7.10 - Prob. 30WECh. 7.10 - Prob. 31WECh. 7.10 - Prob. 32WECh. 7.10 - Prob. 1PCh. 7.10 - Prob. 2PCh. 7.10 - Prob. 3PCh. 7.10 - Prob. 1MRECh. 7.10 - Prob. 2MRECh. 7.10 - Prob. 3MRECh. 7.10 - Prob. 4MRECh. 7.10 - Prob. 5MRECh. 7.10 - Prob. 6MRECh. 7.10 - Prob. 7MRECh. 7.10 - Prob. 8MRECh. 7.10 - Prob. 9MRECh. 7.10 - Prob. 1STCh. 7.10 - Prob. 2STCh. 7.10 - Prob. 3STCh. 7.10 - Prob. 4STCh. 7.10 - Prob. 5STCh. 7.10 - Prob. 6STCh. 7.10 - Prob. 7STCh. 7.10 - Prob. 8STCh. 7.10 - Prob. 9STCh. 7.10 - Prob. 10STCh. 7.10 - Prob. 11STCh. 7.10 - Prob. 12STCh. 7 - Prob. 1CRCh. 7 - Prob. 2CRCh. 7 - Prob. 3CRCh. 7 - Prob. 4CRCh. 7 - Prob. 5CRCh. 7 - Prob. 6CRCh. 7 - Prob. 7CRCh. 7 - Prob. 8CRCh. 7 - Prob. 9CRCh. 7 - Prob. 10CRCh. 7 - Prob. 11CRCh. 7 - Prob. 12CRCh. 7 - Prob. 13CRCh. 7 - Prob. 14CRCh. 7 - Prob. 15CRCh. 7 - Prob. 16CRCh. 7 - Prob. 1CTCh. 7 - Prob. 2CTCh. 7 - Prob. 3CTCh. 7 - Prob. 4CTCh. 7 - Prob. 5CTCh. 7 - Prob. 6CTCh. 7 - Prob. 7CTCh. 7 - Prob. 8CTCh. 7 - Prob. 9CTCh. 7 - Prob. 10CTCh. 7 - Prob. 11CTCh. 7 - Prob. 12CTCh. 7 - Prob. 13CTCh. 7 - Prob. 14CTCh. 7 - Prob. 15CTCh. 7 - Prob. 16CTCh. 7 - Prob. 17CTCh. 7 - Prob. 18CTCh. 7 - Prob. 19CTCh. 7 - Prob. 20CTCh. 7 - Prob. 21CTCh. 7 - Prob. 22CTCh. 7 - Prob. 23CTCh. 7 - Prob. 24CTCh. 7 - Prob. 25CTCh. 7 - Prob. 26CTCh. 7 - Prob. 27CTCh. 7 - Prob. 1CLRCh. 7 - Prob. 2CLRCh. 7 - Prob. 3CLRCh. 7 - Prob. 4CLRCh. 7 - Prob. 5CLRCh. 7 - Prob. 6CLRCh. 7 - Prob. 7CLRCh. 7 - Prob. 8CLRCh. 7 - Prob. 9CLRCh. 7 - Prob. 10CLRCh. 7 - Prob. 11CLRCh. 7 - Prob. 12CLRCh. 7 - Prob. 13CLRCh. 7 - Prob. 14CLRCh. 7 - Prob. 15CLRCh. 7 - Prob. 16CLRCh. 7 - Prob. 17CLRCh. 7 - Prob. 18CLRCh. 7 - Prob. 19CLRCh. 7 - Prob. 20CLRCh. 7 - Prob. 21CLRCh. 7 - Prob. 22CLRCh. 7 - Prob. 23CLRCh. 7 - Prob. 24CLRCh. 7 - Prob. 25CLRCh. 7 - Prob. 26CLRCh. 7 - Prob. 27CLRCh. 7 - Prob. 28CLRCh. 7 - Prob. 29CLRCh. 7 - Prob. 30CLRCh. 7 - Prob. 31CLRCh. 7 - Prob. 32CLRCh. 7 - Prob. 33CLRCh. 7 - Prob. 34CLRCh. 7 - Prob. 35CLRCh. 7 - Prob. 36CLRCh. 7 - Prob. 37CLRCh. 7 - Prob. 38CLRCh. 7 - Prob. 39CLRCh. 7 - Prob. 1MSCh. 7 - Prob. 2MSCh. 7 - Prob. 3MSCh. 7 - Prob. 4MSCh. 7 - Prob. 5MSCh. 7 - Prob. 6MSCh. 7 - Prob. 7MSCh. 7 - Prob. 8MSCh. 7 - Prob. 9MSCh. 7 - Prob. 10MSCh. 7 - Prob. 11MSCh. 7 - Prob. 12MSCh. 7 - Prob. 13MSCh. 7 - Prob. 14MSCh. 7 - Prob. 15MSCh. 7 - Prob. 16MSCh. 7 - Prob. 17MSCh. 7 - Prob. 18MSCh. 7 - Prob. 19MSCh. 7 - Prob. 20MSCh. 7 - Prob. 21MSCh. 7 - Prob. 22MSCh. 7 - Prob. 23MSCh. 7 - Prob. 24MSCh. 7 - Prob. 25MSCh. 7 - Prob. 26MSCh. 7 - Prob. 27MSCh. 7 - Prob. 28MSCh. 7 - Prob. 29MSCh. 7 - Prob. 30MSCh. 7 - Prob. 31MSCh. 7 - Prob. 32MSCh. 7 - Prob. 33MSCh. 7 - Prob. 34MSCh. 7 - Prob. 35MSCh. 7 - Prob. 36MSCh. 7 - Prob. 1MPSCh. 7 - Prob. 2MPSCh. 7 - Prob. 3MPSCh. 7 - Prob. 4MPSCh. 7 - Prob. 5MPSCh. 7 - Prob. 6MPSCh. 7 - Prob. 7MPSCh. 7 - Prob. 8MPSCh. 7 - Prob. 9MPSCh. 7 - Prob. 10MPSCh. 7 - Prob. 11MPSCh. 7 - Prob. 12MPSCh. 7 - Prob. 13MPSCh. 7 - Prob. 14MPS
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