What is the value of ((10^2)^2\div10^3)?
Answer and explanation
Correct answer: 10
Using the laws of exponents, \((10^2)^2=10^{2\times2}=10^4\). For division with the same base, subtract the exponents: \(10^4\div10^3=10^{4-3}=10^1=10\). Therefore, the correct answer is 10. Option B is incorrect because it does not subtract the exponents correctly. Exam tip: multiply exponents in a power raised to another power, then subtract exponents when dividing like bases.
Frequently asked questions
What is the correct answer to this question?
10
Why is this the correct answer?
Using the laws of exponents, \((10^2)^2=10^{2\times2}=10^4\). For division with the same base, subtract the exponents: \(10^4\div10^3=10^{4-3}=10^1=10\). Therefore, the correct answer is 10. Option B is incorrect because it does not subtract the exponents correctly. Exam tip: multiply exponents in a power raised to another power, then subtract exponents when dividing like bases.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Exponents.
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