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Prime Factorization

Class 10 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsWhat is the simplified form of (\frac{24^{3}}{2^{6}\cdot3^{2}})?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45ExpertMathematicsWhat is the simplified form of 8^{3}f2^{2}f3^{5}9?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 44ExpertMathematicsWhat is the simplified form of (\frac{12^{4}}{2^{5}\cdot3^{3}})?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43ExpertMathematicsWhat is the simplified value of (\frac{6^{5}}{2^{3}\cdot3^{4}})?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45HardMathematicsIf (\frac{231}{2\cdot3\cdot5^2\cdot7\cdot11}) is written in lowest form, what type of decimal expansion will it have?Class 10PolynomialsIrrational numbers and real numbersLevel 27ExpertMathematicsIf a/b is in lowest form and b = 2³ × 5 × 11, what type of decimal expansion will it have?Class 10Real NumbersDecimal expansion of rational numbersLevel 27MediumMathematicsIf (\frac{154}{2\cdot5^2\cdot7\cdot11}) is written in lowest form, what type of decimal expansion will it have?Class 10PolynomialsIrrational numbers and real numbersLevel 26ExpertMathematicsWhich fraction will have a terminating decimal expansion?Class 10PolynomialsIrrational numbers and real numbersLevel 26ExpertMathematicsWhich statement is correct about the decimal expansion of (\frac{91}{2^3\cdot5^2\cdot13})?Class 10PolynomialsIrrational numbers and real numbersLevel 28HardMathematicsIf \(A=\{x:x\text{ is a prime factor of }12\}\) and \(B=\{2,3\}\), which statement is true?Class 10SetsPower Set and SubsetsLevel 7EasyMathematicsWhat is the value of \(N\) when \(\frac{13}{2^3\cdot 5^7}\) is expressed as \(\frac{N}{10^7}\)?Class 10Real NumbersDecimal expansion of rational numbersLevel 20ExpertMathematicsWhen \(\frac{3}{2^4\cdot 5^6}\) is written as \(\frac{N}{10^6}\), what is \(N\)?Class 10Real NumbersDecimal expansion of rational numbersLevel 19ExpertMathematicsChoose the correct value of \(N\) when \(\frac{11}{2^6\cdot 5^2}\) is written as \(\frac{N}{10^6}\).Class 10Real NumbersDecimal expansion of rational numbersLevel 19ExpertMathematicsWhich option shows the common deeper idea in the proofs of (\sqrt{3}) and (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Hard