0 reads0 ratings0 helpful
Find (\frac{9^{-1}}{3^{-4}}).
Advertisement
Answer and explanation
Correct answer: 9
Since \(9=3^2\), we have \(9^{-1}=3^{-2}\). Using the division law for powers with the same base, \(a^m\div a^n=a^{m-n}\), we get \(3^{-2}\div3^{-4}=3^{-2-(-4)}=3^2=9\). Therefore, option A is correct. In exams, take special care that subtracting \(-4\) becomes addition of 4.
Frequently asked questions
What is the correct answer to this question?
9
Why is this the correct answer?
Since \(9=3^2\), we have \(9^{-1}=3^{-2}\). Using the division law for powers with the same base, \(a^m\div a^n=a^{m-n}\), we get \(3^{-2}\div3^{-4}=3^{-2-(-4)}=3^2=9\). Therefore, option A is correct. In exams, take special care that subtracting \(-4\) becomes addition of 4.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Exponents.
Student feedback
Was this question useful?
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Difficulty
Easy0%
Medium0%
Hard0%
Was the explanation clear?
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
Advertisement