What is value of (\frac{a^3 b^{-2}}{a^{-1} b})
Answer and explanation
Correct answer: a^4 b^{-3}
When dividing powers with the same base, subtract the exponents: \(a^{3-(-1)}=a^4\) and \(b^{-2-1}=b^{-3}\). Therefore, the value is \(a^4b^{-3}\), so option A is correct. Option B results from an incorrect subtraction of the exponents. Remember: \(x^m/x^n=x^{m-n}\), with the denominator required to be non-zero.
Frequently asked questions
What is the correct answer to this question?
a^4 b^{-3}
Why is this the correct answer?
When dividing powers with the same base, subtract the exponents: \(a^{3-(-1)}=a^4\) and \(b^{-2-1}=b^{-3}\). Therefore, the value is \(a^4b^{-3}\), so option A is correct. Option B results from an incorrect subtraction of the exponents. Remember: \(x^m/x^n=x^{m-n}\), with the denominator required to be non-zero.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Exponents.
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