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What is the product of \(4x^3 \cdot 3x^2\)?\(4x^3 \cdot 3x^2\) का गुणनफल क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(12x^5\)\(12x^5\)
When powers with the same base are multiplied, their exponents are added: \(x^3 \cdot x^2=x^{3+2}=x^5\). The coefficients multiply to \(4\cdot3=12\). Therefore, \(4x^3\cdot3x^2=12x^5\). Exam tip: multiply the coefficients and add the exponents of the same variable.समान आधार वाली घातों के गुणन में घातों को जोड़ा जाता है: \(x^3 \cdot x^2=x^{3+2}=x^5\)। गुणांकों का गुणनफल \(4\cdot3=12\) है। इसलिए \(4x^3\cdot3x^2=12x^5\)। परीक्षा-युक्ति: समान चर के गुणन में गुणांक गुणा करें और घातें जोड़ें।
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