   Chapter 0.2, Problem 30E

Chapter
Section
Textbook Problem

Simplify each expression in Exercises 17–30, expressing your answer in positive exponent form. ( x y − 2 x 2 y − 1 z ) − 3

To determine

To calculate: The simplified form of the expression (xy2x2y1z)3.

Explanation

Given Information:

The given expression is (xy2x2y1z)3.

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.

For any real value a.

an=1an=1a×a×aa(n times)

Where a is the base and n is the negative integer exponent.

Calculation:

Consider the given expression (xy2x2y1z)3.

This expression can be rearranged as (xy2x2y1z)3={(xx2)(y2y1)(1z)}3

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