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What is the product of \(6x\cdot 5x^2\)?\(6x\cdot 5x^2\) का गुणनफल क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(30x^3\)\(30x^3\)
Multiplying the coefficients gives \(6\times5=30\). For powers with the same base, \(x^m\cdot x^n=x^{m+n}\), so \(x\cdot x^2=x^{1+2}=x^3\). Hence, the product is \(30x^3\). Remember that exponents are added, not multiplied, when multiplying like bases.गुणांकों का गुणन करने पर \(6\times5=30\) मिलता है। समान आधार वाले घातांकों के लिए \(x^m\cdot x^n=x^{m+n}\), इसलिए \(x\cdot x^2=x^{1+2}=x^3\)। अतः गुणनफल \(30x^3\) है। ध्यान रखें कि गुणा करते समय घातांक जोड़े जाते हैं, गुणा नहीं किए जाते।
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