What is the value of (0.25)^{-2}?
Answer and explanation
Correct answer: 16
Since (0.25)=\frac{1}{4}, we get (0.25)^{-2}=\left(\frac{1}{4}\right)^{-2}=4^2=16. A negative exponent means taking the reciprocal before applying the positive exponent. Exam tip: use a^{-n}=\frac{1}{a^n}; the option 0.0625 results from squaring 0.25 without handling the negative exponent.
Frequently asked questions
What is the correct answer to this question?
16
Why is this the correct answer?
Since (0.25)=\frac{1}{4}, we get (0.25)^{-2}=\left(\frac{1}{4}\right)^{-2}=4^2=16. A negative exponent means taking the reciprocal before applying the positive exponent. Exam tip: use a^{-n}=\frac{1}{a^n}; the option 0.0625 results from squaring 0.25 without handling the negative exponent.
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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