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the nules for expuner Sing Xxt = (xy)b = こ x+

the nules for expuner Sing Xxt = (xy)b = こ x+

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Using the Rules for Exponents** 1. \( x^s \cdot x^t = \) 2. \( (xy)^b = \) 3. \( \frac{x^s}{x^t} = \) 4. \( \left(\frac{a}{b}\right)^w = \) --- **Explanation:** These expressions illustrate basic exponent rules: 1. **Product of Powers Rule:** \( x^s \cdot x^t = x^{s+t} \) - When multiplying like bases, add their exponents. 2. **Power of a Product Rule:** \( (xy)^b = x^b \cdot y^b \) - Distribute the exponent to each factor inside the parentheses. 3. **Quotient of Powers Rule:** \( \frac{x^s}{x^t} = x^{s-t} \) - When dividing like bases, subtract the exponent of the denominator from the exponent of the numerator. 4. **Power of a Quotient Rule:** \( \left(\frac{a}{b}\right)^w = \frac{a^w}{b^w} \) - Distribute the exponent inside the parentheses to both the numerator and the denominator.
Transcribed Image Text:**Using the Rules for Exponents** 1. \( x^s \cdot x^t = \) 2. \( (xy)^b = \) 3. \( \frac{x^s}{x^t} = \) 4. \( \left(\frac{a}{b}\right)^w = \) --- **Explanation:** These expressions illustrate basic exponent rules: 1. **Product of Powers Rule:** \( x^s \cdot x^t = x^{s+t} \) - When multiplying like bases, add their exponents. 2. **Power of a Product Rule:** \( (xy)^b = x^b \cdot y^b \) - Distribute the exponent to each factor inside the parentheses. 3. **Quotient of Powers Rule:** \( \frac{x^s}{x^t} = x^{s-t} \) - When dividing like bases, subtract the exponent of the denominator from the exponent of the numerator. 4. **Power of a Quotient Rule:** \( \left(\frac{a}{b}\right)^w = \frac{a^w}{b^w} \) - Distribute the exponent inside the parentheses to both the numerator and the denominator.
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