What is the value of \(((10^3)^2\div10^5)\)?
Answer and explanation
Correct answer: 10
Using the laws of exponents, \((10^3)^2=10^{3\times2}=10^6\). Therefore, \(10^6\div10^5=10^{6-5}=10\), so the correct answer is 10. The option 1000 results from incorrectly applying the division rule for powers with the same base. Exam tip: when dividing powers with the same base, subtract their exponents.
Frequently asked questions
What is the correct answer to this question?
10
Why is this the correct answer?
Using the laws of exponents, \((10^3)^2=10^{3\times2}=10^6\). Therefore, \(10^6\div10^5=10^{6-5}=10\), so the correct answer is 10. The option 1000 results from incorrectly applying the division rule for powers with the same base. Exam tip: when dividing powers with the same base, subtract their exponents.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Exponents.
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