Table of contents
- 0. Review of Algebra4h 16m
- 1. Equations & Inequalities3h 18m
- 2. Graphs of Equations43m
- 3. Functions2h 17m
- 4. Polynomial Functions1h 44m
- 5. Rational Functions1h 23m
- 6. Exponential & Logarithmic Functions2h 28m
- 7. Systems of Equations & Matrices4h 6m
- 8. Conic Sections2h 23m
- 9. Sequences, Series, & Induction1h 19m
- 10. Combinatorics & Probability1h 45m
0. Review of Algebra
Exponents
1:39 minutes
Problem 61b
Textbook Question
Textbook QuestionIn Exercises 59–70, evaluate each exponential expression. -10^2
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Exponential Expressions
Exponential expressions involve a base raised to a power, indicating how many times the base is multiplied by itself. For example, in the expression a^n, 'a' is the base and 'n' is the exponent. Understanding how to evaluate these expressions is crucial for solving problems involving growth, decay, and other mathematical applications.
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Order of Operations
The order of operations is a set of rules that dictates the sequence in which mathematical operations should be performed to ensure consistent results. The common acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction) helps remember this order. In evaluating expressions like -10^2, recognizing that the exponent is applied before the negative sign is essential.
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Negative Exponents
Negative exponents indicate the reciprocal of the base raised to the absolute value of the exponent. For instance, a^-n equals 1/a^n. While this concept is not directly applicable in the given expression, understanding it is important for broader contexts where negative exponents may appear, influencing how we interpret and simplify expressions.
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