If \(w\ne0\), what is the correct form of \(\frac{w^a}{w^b}\)?
Answer and explanation
Correct answer: \(w^{a-b}\)
When powers with the same non-zero base are divided, their exponents are subtracted: \(\frac{w^a}{w^b}=w^{a-b}\). Hence, option B is correct. Option D reverses the order of subtraction, while option A represents the multiplication law and option C incorrectly multiplies the exponents. Exam tip: for division of powers with the same base, subtract the denominator exponent from the numerator exponent.
Frequently asked questions
What is the correct answer to this question?
\(w^{a-b}\)
Why is this the correct answer?
When powers with the same non-zero base are divided, their exponents are subtracted: \(\frac{w^a}{w^b}=w^{a-b}\). Hence, option B is correct. Option D reverses the order of subtraction, while option A represents the multiplication law and option C incorrectly multiplies the exponents. Exam tip: for division of powers with the same base, subtract the denominator exponent from the numerator exponent.
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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