   Chapter 1.3, Problem 37PS

Chapter
Section
Textbook Problem

For problems 27-54, simplify each of the numerical expressions. (Objective 2 and 3) − 3 ( − 2 ) 3 + 4 ( − 1 ) 5

To determine

To simplify:

The provided numerical expression.

Explanation

Definition:

If n, is positive integer and b is any real number, then

bn=bbbb

We refer to the b as the base and to n as the exponent. The expression bn can be read “b to the nth power”.

Multiplication Property of Negative One:

If a, is any real number, then

(a)(1)=(1)(a)=a

Given:

3(2)3+4(1)5

Calculation:

Applying the exponent,

Substituting the values b=2,n=3 and b=1,n=5 in above formula,

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