   Chapter 0.2, Problem 26E

Chapter
Section
Textbook Problem

Simplify each expression in Exercises 17–30, expressing your answer in positive exponent form. x 2 y z 2 ( x y z − 1 ) − 1

To determine

To calculate: The simplified form of expression x2yz2(xyz1)1.

Explanation

Given Information:

The provided expression is x2yz2(xyz1)1.

Formula used:

For any real number a,

(an)m=anm

For any real number a other than 0,

aman=amn

Where a is the base and m, n are exponents of numerator and denominator respectively.

For any real numbers a, b

(ab)n=anbn

Where a, b are base entities and n is the exponent.

Calculation:

Consider the provided expression x2yz2(xyz1)1, and simplify the denominator by the use of the exponent identity (ab)n=anbn

x2yz2(xyz1)1=x2yz2x1y1(z1)1

Now use the exponent identity (an)m=anm and simplify further,

x2y<

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