What is rule of ((a^m)^n)
Answer and explanation
Correct answer: \(a^{mn}\)
When a power is raised to another power, the exponents are multiplied: \((a^m)^n=a^{m\times n}=a^{mn}\). Therefore, option A is correct. Option B is incorrect because adding exponents applies to multiplication of powers with the same base, not to a power raised to another power. Exam tip: for “power of a power,” multiply the exponents.
Frequently asked questions
What is the correct answer to this question?
\(a^{mn}\)
Why is this the correct answer?
When a power is raised to another power, the exponents are multiplied: \((a^m)^n=a^{m\times n}=a^{mn}\). Therefore, option A is correct. Option B is incorrect because adding exponents applies to multiplication of powers with the same base, not to a power raised to another power. Exam tip: for “power of a power,” multiply the exponents.
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?
👍 0 Helpful 👎 0 Not helpful
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
