According to the laws of exponents, which rule applies when a term with an exponent, a^m, is raised to the nth power?
Answer and explanation
Correct answer: \((a^m)^n=a^{mn}\)
For a power raised to another power, the exponents are multiplied: \((a^m)^n=a^{mn}\). For example, \((x^2)^3=x^{2\times3}=x^6\). The rule \(m+n\) is used when powers with the same base are multiplied. Exam tip: identify nested powers and multiply their exponents.
Frequently asked questions
What is the correct answer to this question?
\((a^m)^n=a^{mn}\)
Why is this the correct answer?
For a power raised to another power, the exponents are multiplied: \((a^m)^n=a^{mn}\). For example, \((x^2)^3=x^{2\times3}=x^6\). The rule \(m+n\) is used when powers with the same base are multiplied. Exam tip: identify nested powers and multiply their exponents.
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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