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Intermediate Algebra

10th Edition
Jerome E. Kaufmann + 1 other
ISBN: 9781285195728

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BuyFindarrow_forward

Intermediate Algebra

10th Edition
Jerome E. Kaufmann + 1 other
ISBN: 9781285195728
Textbook Problem

Concept Quiz 3.2

For Problems 1 – 10, answer true or false.

To simplify 3 x 2 y 2 x 3 y 2 4 according to the order of operations, first raise 2 x 3 y 2 to the fourth power and then multiply the monomials.

To determine

To answer:

True or false: “To simplify (3x2y)(2x3y2)4 according to the order of operations, first raise 2x3y2 to the fourth power and then multiply the monomials.”

Explanation

Product of the same base with integer exponents:

If b is any real number, and n and m are positive integers.

Then, bn=b·b·b·b·b·b··b (n factors of b)

And, (bn)m=bn·bn·bn··bn (m factors of bn)

Since bm·bn=bm+n,bn·bn·bn··bn=bn+n+n++n(m times)

Taking the product, bnm=bmn=b·b·b·b·b·b··b (mn factors of b)

Therefore, bm·bn=bm+n

Power of a product:

If a, b are real numbers, and n is positive integer.

abn=ababab··(ab) (n factors of ab)

= a·a·a··a(b·b·b·b·b·b··b)

Therefore, abn=anbn

Calculation:

Given statement is ‘To simplify (3x2y)(2x3y2)4 according to the order of operations, first raise 2x3y2 to the fourth power and then multiply the monomials’

The statement is true

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P-48CRSect-3.CR P-49CRSect-3.CR P-50CRSect-3.CR P-51CRSect-3.CR P-52CRSect-3.CR P-53CRSect-3.CR P-54CRSect-3.CR P-55CRSect-3.CR P-56CRSect-3.CR P-57CRSect-3.CR P-58CRSect-3.CR P-59CRSect-3.CR P-60CRSect-3.CR P-61CRSect-3.CR P-62CRSect-3.CR P-63CRSect-3.CR P-64CRSect-3.CR P-65CRSect-3.CR P-66CRSect-3.CR P-67CRSect-3.CR P-68CRSect-3.CR P-69CRSect-3.CR P-70CRSect-3.CR P-71CRSect-3.CR P-72CRSect-3.CR P-73CRSect-3.CR P-74CRSect-3.CR P-75CRSect-3.CR P-76CRSect-3.CR P-77CRSect-3.CR P-78CRSect-3.CR P-79CRSect-3.CR P-80CRSect-3.CR P-81CRSect-3.CR P-82CRSect-3.CR P-83CRSect-3.CR P-84CRSect-3.CR P-85CRSect-3.CR P-86CRSect-3.CR P-87CRSect-3.CR P-88CRSect-3.CR P-89CRSect-3.CR P-90CRSect-3.CR P-91CRSect-3.CR P-92CRSect-3.CR P-93CRSect-3.CR P-94CRSect-3.CR P-95CRSect-3.CR P-96CRSect-3.CR P-97CRSect-3.CR P-98CRSect-3.CR P-99CRSect-3.CR P-100CRSect-3.CR P-101CRSect-3.CR P-102CRSect-3.CR P-103CRSect-3.CR P-104CRSect-3.CR P-105CRSect-3.CR P-106CRSect-3.CR P-107CRSect-3.CR P-108CRSect-3.CR P-109CRSect-3.CR P-110CRSect-3.CR P-111CRSect-3.CR P-112CRSect-3.CR P-113CRSect-3.CR P-114CRSect-3.CT P-1CTSect-3.CT P-2CTSect-3.CT P-3CTSect-3.CT P-4CTSect-3.CT P-5CTSect-3.CT P-6CTSect-3.CT P-7CTSect-3.CT P-8CTSect-3.CT P-9CTSect-3.CT P-10CTSect-3.CT P-11CTSect-3.CT P-12CTSect-3.CT P-13CTSect-3.CT P-14CTSect-3.CT P-15CTSect-3.CT P-16CTSect-3.CT P-17CTSect-3.CT P-18CTSect-3.CT P-19CTSect-3.CT P-20CTSect-3.CT P-21CTSect-3.CT P-22CTSect-3.CT P-23CTSect-3.CT P-24CTSect-3.CT P-25CT

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