What is simplified form of (\frac{a^3 b^2}{a b})
Answer and explanation
Correct answer: \(a^2b\)
For like bases in a quotient, subtract the exponent in the denominator from the exponent in the numerator: \(a^{3-1}b^{2-1}=a^2b\). Therefore, option A is correct. Option C is incorrect because it reduces both factors too far. Exam tip: use \(\frac{x^m}{x^n}=x^{m-n}\) for the same nonzero base; here \(a\neq0\) and \(b\neq0\) are assumed.
Frequently asked questions
What is the correct answer to this question?
\(a^2b\)
Why is this the correct answer?
For like bases in a quotient, subtract the exponent in the denominator from the exponent in the numerator: \(a^{3-1}b^{2-1}=a^2b\). Therefore, option A is correct. Option C is incorrect because it reduces both factors too far. Exam tip: use \(\frac{x^m}{x^n}=x^{m-n}\) for the same nonzero base; here \(a\neq0\) and \(b\neq0\) are assumed.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Exponents.
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