0 reads0 ratings0 helpful
For a non-zero real number \(a\) and a positive integer \(n\), which of the following is the correct law of negative exponents?
Advertisement
Answer and explanation
Correct answer: \(a^{-n}=\frac{1}{a^n}\)
A negative exponent represents a reciprocal, so \(a^{-n}=\frac{1}{a^n}\). Check: \(a^n\cdot a^{-n}=a^0=1\). Here \(a\neq0\) is essential. Exam tip: rewrite negative powers as reciprocals first.
Frequently asked questions
What is the correct answer to this question?
\(a^{-n}=\frac{1}{a^n}\)
Why is this the correct answer?
A negative exponent represents a reciprocal, so \(a^{-n}=\frac{1}{a^n}\). Check: \(a^n\cdot a^{-n}=a^0=1\). Here \(a\neq0\) is essential. Exam tip: rewrite negative powers as reciprocals first.
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.
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