What is the value of \((2^3)^0+5^{-1}\)?
Answer and explanation
Correct answer: \(\frac{6}{5}\)
By the zero-exponent law, the zeroth power of any non-zero number is 1, so \((2^3)^0=1\). By the negative-exponent law, \(5^{-1}=\frac{1}{5}\). Therefore, \(1+\frac{1}{5}=\frac{6}{5}\), so option B is correct. Exam tip: remember that \(a^{-n}=\frac{1}{a^n}\) and \(a^0=1\) for \(a\ne0\).
Frequently asked questions
What is the correct answer to this question?
\(\frac{6}{5}\)
Why is this the correct answer?
By the zero-exponent law, the zeroth power of any non-zero number is 1, so \((2^3)^0=1\). By the negative-exponent law, \(5^{-1}=\frac{1}{5}\). Therefore, \(1+\frac{1}{5}=\frac{6}{5}\), so option B is correct. Exam tip: remember that \(a^{-n}=\frac{1}{a^n}\) and \(a^0=1\) for \(a\ne0\).
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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