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If (x=2^4), what is (x^2\div2^5)?यदि (x=2^4) तो (x^2\div2^5) का मान क्या है?
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Correct answer:सही उत्तर: 88
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}.दिया है कि x=2^4। अतः x^2=(2^4)^2=2^8। इसलिए x^2\div2^5=2^8\div2^5=2^{8-5}=2^3=8। यहाँ समान आधार वाली घातों के भाग में घातों को घटाया जाता है; इसलिए 16 सही नहीं है। परीक्षा-युक्ति: a^m\div a^n=a^{m-n} का नियम याद रखें।
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