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What is the value of ((2^3 \times 5^3)\div10^2)?
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Answer and explanation
Correct answer: 10
Using the rule for equal exponents, \(2^3 \times 5^3=(2\times5)^3=10^3\). Therefore, \(10^3\div10^2=10^{3-2}=10\), so option B is correct. Option A results from an incorrect evaluation of the powers. 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 rule for equal exponents, \(2^3 \times 5^3=(2\times5)^3=10^3\). Therefore, \(10^3\div10^2=10^{3-2}=10\), so option B is correct. Option A results from an incorrect evaluation of the powers. 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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