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Which of the following statements correctly represents a law of exponents for all positive real numbers \(a\) and \(b\) and any real number \(r\)?
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Answer and explanation
Correct answer: \((ab)^r=a^r b^r\)
The power-of-a-product law is \((ab)^r=a^r b^r\): the exponent applies to each factor. Option A wrongly changes multiplication into addition. Exam tip: an exponent outside brackets acts on the entire product, not on a sum.
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What is the correct answer to this question?
\((ab)^r=a^r b^r\)
Why is this the correct answer?
The power-of-a-product law is \((ab)^r=a^r b^r\): the exponent applies to each factor. Option A wrongly changes multiplication into addition. Exam tip: an exponent outside brackets acts on the entire product, not on a sum.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Operations on real numbers and the laws of exponents.
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