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If (x=2^4), what is (x^2\div2^5)?
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Answer and explanation
Correct answer: 8
Given x=2^4, so x^2=(2^4)^2=2^8. Therefore, x^2\div2^5=2^8\div2^5=2^{8-5}=2^3=8. For division with the same base, subtract the exponents; hence 16 is not correct. Exam tip: remember the rule a^m\div a^n=a^{m-n}.
Frequently asked questions
What is the correct answer to this question?
8
Why is this the correct answer?
Given x=2^4, so x^2=(2^4)^2=2^8. Therefore, x^2\div2^5=2^8\div2^5=2^{8-5}=2^3=8. For division with the same base, subtract the exponents; hence 16 is not correct. Exam tip: remember the rule a^m\div a^n=a^{m-n}.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Exponents.
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