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Intermediate Algebra

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

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Chapter
Section
BuyFindarrow_forward

Intermediate Algebra

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

Problem Set 3.2

For Problems 37 – 58, raise each monomial to the indicated power. (Objective 2)

- 5 a 2 b 2 c 3

To determine

To find:

The product -5a2b2c3.

Explanation

Product of the same base with integer exponents:

1) 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, bm=b·b·b·b·b·b··b (m factors of b)

Taking the product, bm·bn=b·b·b·b·b·b··b (m factors of b)·(b·b·b·b·b·b··b)(n factors of b)

bm·bn=b·b·b·b·b·b··b [(m+n) factors of b]

Therefore, bm·bn=bm+n

Power raised to a power:

2) 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=

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