সুচক

{ "questions": [ { "question": "$a^m \\times a^n$ ৰ মান কিমান?", "options": [ "$a^{m+n}$", "$a^{m-n}$", "$a^{mn}$", "$a^{m/n}$" ], "answer": 0 }, { "question": "$\\frac{a^m}{a^n}$ (য'ত $a \\neq 0$) ৰ মান কিমান?", "options": [ "$a^{m+n}$", "$a^{m-n}$", "$a^{mn}$", "$a^{n-m}$" ], "answer": 1 }, { "question": "$(a^m)^n$ ৰ মান কিমান?", "options": [ "$a^{m+n}$", "$a^{m-n}$", "$a^{mn}$", "$a^{m/n}$" ], "answer": 2 }, { "question": "যিকোনো অশূন্য সংখ্যা $a$ ৰ বাবে $a^0$ ৰ মান কিমান?", "options": [ "$0$", "$a$", "$\\infty$", "$1$" ], "answer": 3 }, { "question": "$a^{-n}$ ৰ সমান মান কোনটো?", "options": [ "$\\frac{1}{a^n}$", "$-a^n$", "$\\frac{n}{a}$", "$-n^a$" ], "answer": 0 }, { "question": "$2^3 \\times 2^4$ ৰ মান কিমান?", "options": [ "$2^{12}$", "$2^7$", "$4^7$", "$2^1$" ], "answer": 1 }, { "question": "$\\frac{5^6}{5^2}$ ৰ মান কিমান?", "options": [ "$5^3$", "$5^{12}$", "$5^4$", "$5^8$" ], "answer": 2 }, { "question": "$(3^2)^3$ ৰ মান কিমান?", "options": [ "$3^5$", "$9^5$", "$3^8$", "$3^6$" ], "answer": 3 }, { "question": "$(-1)^{100}$ ৰ মান কিমান?", "options": [ "$1$", "$-1$", "$100$", "$-100$" ], "answer": 0 }, { "question": "$(-1)^{99}$ ৰ মান কিমান?", "options": [ "$1$", "$-1$", "$99$", "$-99$" ], "answer": 1 }, { "question": "$(ab)^n$ ৰ সমান মান কোনটো?", "options": [ "$a^n + b^n$", "$a + b^n$", "$a^n b^n$", "$a b^n$" ], "answer": 2 }, { "question": "$\\left(\\frac{a}{b}\\right)^n$ (য'ত $b \\neq 0$) ৰ মান কিমান?", "options": [ "$\\frac{a}{b^n}$", "$\\frac{a^n}{b}$", "$\\frac{a-n}{b-n}$", "$\\frac{a^n}{b^n}$" ], "answer": 3 }, { "question": "$2^0 + 3^0 + 4^0$ ৰ মান কিমান?", "options": [ "$3$", "$0$", "$9$", "$1$" ], "answer": 0 }, { "question": "$2^0 \\times 3^0 \\times 4^0$ ৰ মান কিমান?", "options": [ "$0$", "$1$", "$3$", "$24$" ], "answer": 1 }, { "question": "$4^{-3}$ ক ধন্যাত্মক সূচকত প্ৰকাশ কৰিলে কি হ'ব?", "options": [ "$-4^3$", "$-12$", "$\\frac{1}{4^3}$", "$\\frac{1}{3^4}$" ], "answer": 2 }, { "question": "$\\left(\\frac{2}{3}\\right)^{-2}$ ৰ মান কিমান?", "options": [ "$-\\frac{4}{9}$", "$\\frac{4}{9}$", "$-\\frac{9}{4}$", "$\\frac{9}{4}$" ], "answer": 3 }, { "question": "যদি $2^x = 16$ হয়, তেন্তে $x$ ৰ মান কিমান?", "options": [ "$4$", "$3$", "$8$", "$2$" ], "answer": 0 }, { "question": "যদি $3^{x+1} = 27$ হয়, তেন্তে $x$ ৰ মান কিমান?", "options": [ "$3$", "$2$", "$1$", "$4$" ], "answer": 1 }, { "question": "$8^{2/3}$ ৰ মান নিৰ্ণয় কৰা:", "options": [ "$2$", "$8$", "$4$", "$16$" ], "answer": 2 }, { "question": "$64^{-1/2}$ ৰ মান কিমান?", "options": [ "$-8$", "$8$", "$\\frac{1}{32}$", "$\\frac{1}{8}$" ], "answer": 3 }, { "question": "$1000^0$ ৰ মান কিমান?", "options": [ "$1$", "$0$", "$1000$", "$100$" ], "answer": 0 }, { "question": "$2^3 \\times 3^3$ ৰ সমান মান কোনটো?", "options": [ "$6^6$", "$6^3$", "$5^3$", "$6^9$" ], "answer": 1 }, { "question": "$\\frac{10^5}{2^5}$ ৰ মান কিমান?", "options": [ "$5^0$", "$5^10$", "$5^5$", "$5^1$" ], "answer": 2 }, { "question": "যদি $5^x = 1$ হয়, তেন্তে $x$ ৰ মান কিমান?", "options": [ "$5$", "$-1$", "$\\frac{1}{5}$", "$0$" ], "answer": 3 }, { "question": "$\\left(2^{-1} + 3^{-1}\\right)^0$ ৰ মান কিমান?", "options": [ "$1$", "$0$", "$\\frac{5}{6}$", "$\\frac{6}{5}$" ], "answer": 0 }, { "question": "$\\sqrt{x}$ ক সূচকীয় ৰূপত (exponent form) লিখিলে কি হ'ব?", "options": [ "$x^2$", "$x^{1/2}$", "$x^{-2}$", "$x^{-1/2}$" ], "answer": 1 }, { "question": "$\\sqrt[3]{a^2}$ ৰ সূচকীয় ৰূপটো কি?", "options": [ "$a^{3/2}$", "$a^6$", "$a^{2/3}$", "$a^{-2/3}$" ], "answer": 2 }, { "question": "যদি $4^x = 2^{10}$ হয়, তেন্তে $x$ ৰ মান কিমান?", "options": [ "$10$", "$2.5$", "$20$", "$5$" ], "answer": 3 }, { "question": "$\\left(-\\frac{1}{2}\\right)^{-5}$ ৰ মান কিমান?", "options": [ "$-32$", "$32$", "$-\\frac{1}{32}$", "$\\frac{1}{32}$" ], "answer": 0 }, { "question": "$2^{x-1} = 8$ হ'লে, $x$ ৰ মান কিমান?", "options": [ "$3$", "$4$", "$2$", "$5$" ], "answer": 1 } ] }