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Intermediate Algebra

OPENSTAX

$Math Studyset Vaia Explanations$ Math

OER 2017 Edition · 1346 pages

ISBN: 9780998625720

Chapter 5: Q. 174 (page 523)

Use the Product Property for Exponents to explain $x \cdot x = x^{2}$

Short Answer

Expert verified

By Product Property for Exponents $x \cdot x = x^{2}$

Step by step solution

01

Given information

Use the Product Property for Exponents to explain $x \cdot x = x^{2}$

02

Explanation

Here

$x \cdot x = x^{1} \cdot x^{1}$

By Product Property for Exponents

$a^{m} \cdot a^{n} = a^{m + n}$

Applying Product Property for Exponents

$x^{1} \cdot x^{1} = x^{1 + 1} = x^{2}$

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