Domanda del libro di testo
Find each product. (x+5)(x−5)
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Ch. P - Fundamental Concepts of Algebra
Blitzer8th EditionCollege AlgebraISBN: 9780136970514
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TOC.tableOfContents
- Ch. P - Fundamental Concepts of Algebra311
- Ch. 1 - Equations and Inequalities398
- Ch. 2 - Functions and Graphs407
- Ch. 3 - Polynomial and Rational Functions306
- Ch. 4 - Exponential and Logarithmic Functions247
- Ch. 5 - Systems of Equations and Inequalities173
- Ch. 6 - Matrices and Determinants143
- Ch. 7 - Conic Sections124
- Ch. 8 - Sequences, Induction, and Probability251
Capitolo 1, Problema 32
Simplify each exponential expression in Exercises 23–64.
Guida verificata passo dopo passo1
Identify the rule for simplifying expressions of the form \((a^m)^n\), which states that you multiply the exponents: \((a^m)^n = a^{m \times n}\).
Apply this rule to the given expression \((x^{11})^5\) by multiplying the exponents 11 and 5.
Write the expression with the new exponent: \(x^{11 \times 5}\).
Simplify the exponent multiplication to get \(x^{55}\).
Express the final simplified form as \(x^{55}\).
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Laws of Exponents
The laws of exponents provide rules for simplifying expressions involving powers. One key rule is that when raising a power to another power, you multiply the exponents. For example, (x^a)^b = x^(a*b). Understanding these laws is essential for simplifying expressions like (x^11)^5.
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04:06
Rational Exponents
Power of a Power Rule
The power of a power rule states that when an exponential expression is raised to another exponent, you multiply the exponents. This rule helps simplify expressions by reducing nested exponents into a single exponent, making calculations and further manipulations easier.
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04:10Powers of i
Variable Exponents
Variable exponents involve expressions where the base is a variable raised to a power. Recognizing how to manipulate these exponents correctly, especially when combined with exponent rules, is crucial for simplifying algebraic expressions and solving related problems.
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04:06Rational Exponents
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