Domanda del libro di testo
Multiply or divide as indicated.
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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 24
Evaluate each exponential expression: (-3)3 (-2)2
Guida verificata passo dopo passo1
Identify the expression to evaluate: \((-3)^3 \times (-2)^2\).
Evaluate each exponential term separately. For \((-3)^3\), raise -3 to the power of 3, which means multiplying -3 by itself three times: \((-3) \times (-3) \times (-3)\).
For \((-2)^2\), raise -2 to the power of 2, which means multiplying -2 by itself two times: \((-2) \times (-2)\).
Calculate the results of each exponential expression individually, keeping track of the signs carefully.
Multiply the two results obtained from the previous step to get the final value of the expression.
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Exponents and Powers
An exponent indicates how many times a base number is multiplied by itself. For example, a^n means multiplying 'a' by itself 'n' times. Understanding this helps in evaluating expressions like (-3)^3, which means (-3) × (-3) × (-3).
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Powers of i
Negative Bases with Exponents
When a negative number is raised to a power, the sign of the result depends on whether the exponent is even or odd. An odd exponent results in a negative product, while an even exponent results in a positive product. For instance, (-3)^3 is negative, but (-2)^2 is positive.
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7:39Introduction to Exponent Rules
Multiplication of Exponential Expressions
When multiplying exponential expressions with different bases, calculate each power separately first, then multiply the results. For example, evaluate (-3)^3 and (-2)^2 individually, then multiply the two values to get the final answer.
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6:39Simplifying Exponential Expressions
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