Question

*यदि (-2)ⁿ⁺¹ × (-2)³ = (-2)⁷ है, तो k का मान ज्ञात कीजिए।* 1️⃣ k = 3 2️⃣ k = 4 3️⃣ k = 6 4️⃣ k = 8​

Answer 1

उतर :-

→ (-2)ⁿ⁺¹ × (-2)³ = (-2)⁷

LHS में a^m * a^n = a^(m + n) का प्रयोग करने पर,

→ (-2)^(n + 1 + 3) = (-2)⁷

→ (-2)^(n + 4) = (2)⁷

अब, यदि a^m = a^n हो तो m = n होते है ,

→ n + 4 = 7

→ n = 7 - 4

→ n = 3 (Ans.)

देखते है :-

→ (-2)^(3 + 1) * (-2)³ = (-2)⁷

→ (-2)⁴ * (-2)³ = (-2)⁷

→ (-2)^(4 + 3) = (-2)⁷

→ (-2)⁷ = (-2)⁷

चूंकि LHS = RHS है l इसलिए रखा गया मान सही है l

अत n का मान 3 होगा l

यह भी देखें :-

what is a answer of 16⁵ ÷ 16⁵

https://brainly.in/question/47965435