Domanda del libro di testo
Write each number in scientific notation. −3829
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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 83
Evaluate each expression without using a calculator. 361/2
Guida verificata passo dopo passo1
Recognize that the expression \(36^{\frac{1}{2}}\) represents the square root of 36 because an exponent of \(\frac{1}{2}\) is equivalent to taking the square root.
Rewrite the expression using the square root notation: \(\sqrt{36}\).
Recall that the square root of a number is a value that, when multiplied by itself, gives the original number.
Identify the number which, when squared, equals 36. Since \(6 \times 6 = 36\), the square root of 36 is 6.
Therefore, \(36^{\frac{1}{2}} = \sqrt{36} = 6\).
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Exponents and Radicals
Exponents represent repeated multiplication, and fractional exponents indicate roots. For example, a^(1/2) means the square root of a. Understanding how to interpret and manipulate fractional exponents is essential for evaluating expressions like 36^(1/2).
Video consigliato:
04:06
Rational Exponents
Square Roots
The square root of a number is a value that, when multiplied by itself, gives the original number. For instance, the square root of 36 is 6 because 6 × 6 = 36. Recognizing perfect squares helps simplify expressions without a calculator.
Video consigliato:
02:20Imaginary Roots with the Square Root Property
Simplification of Expressions
Simplifying expressions involves rewriting them in a simpler or more understandable form. This includes breaking down numbers into their prime factors or perfect squares to evaluate roots or powers easily, which is crucial when calculators are not allowed.
Video consigliato:
05:09Introduction to Algebraic Expressions
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