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For a non-zero base \(a\), which rule represents division of powers with the same base?
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Answer and explanation
Correct answer: \(a^m \div a^n=a^{m-n}\)
When powers have the same non-zero base, their exponents are subtracted, so \(a^m\div a^n=a^{m-n}\). For example, \(a^5\div a^2=a^3\). Exam tip: addition of exponents is used in multiplication, not division.
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What is the correct answer to this question?
\(a^m \div a^n=a^{m-n}\)
Why is this the correct answer?
When powers have the same non-zero base, their exponents are subtracted, so \(a^m\div a^n=a^{m-n}\). For example, \(a^5\div a^2=a^3\). Exam tip: addition of exponents is used in multiplication, not division.
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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