교과서 질문
Determine whether each statement is true or false. If false, correct the right side of the equation. (2/3)-2 = (3/2)2
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Ch. R - Review of Basic Concepts
Lial13th EditionCollege AlgebraISBN: 9780136881063
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Table of contents
1장, 문제 5
Perform the indicated operation, and write each answer in lowest terms. 2x/5 ∙ 10/x2
검증된 단계별 안내1
Identify the given expression to multiply: \(\frac{2x}{5} \times \frac{10}{x^{2}}\).
Multiply the numerators together and the denominators together: \(\frac{2x \times 10}{5 \times x^{2}}\).
Simplify the numerator and denominator separately: numerator becomes \$20x\(, denominator becomes \)5x^{2}$, so the expression is \(\frac{20x}{5x^{2}}\).
Factor and reduce common factors in numerator and denominator: divide both numerator and denominator by \$5x$ to simplify the fraction.
Write the simplified expression after canceling common factors, ensuring the answer is in lowest terms.
비슷한 문제에 대한 검증된 영상 답변:
이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.
영상 길이:
2m도움이 되었나요?
주요 개념
질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.
Multiplication of Rational Expressions
Multiplying rational expressions involves multiplying the numerators together and the denominators together. Each expression is treated like a fraction, so the product is a new fraction formed by these products.
추천 영상:
가이드 코스
02:58
Rationalizing Denominators
Simplifying Algebraic Expressions
Simplifying involves reducing expressions to their simplest form by canceling common factors in the numerator and denominator. This often requires factoring and recognizing common terms to eliminate.
추천 영상:
가이드 코스
05:07Simplifying Algebraic Expressions
Exponents and Their Properties
Understanding how to handle exponents is crucial, especially when multiplying terms with the same base. The product rule states that when multiplying like bases, you add their exponents, which helps simplify expressions involving powers.
추천 영상:
가이드 코스
04:06Rational Exponents
관련 실천
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