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The minimum value of the sum of real numbers a⁻⁵, a⁻⁴, 3 a⁻³, 1, a^8 and a¹⁰ with a>0 is

Correct answer

8

Step-by-step solution

Using A M G M , aligned & a⁻⁵+a⁻⁴+a⁻³+a⁻³+a⁻³+1+a^8+a¹⁰ 8 & (a⁻⁵ a⁻⁴ a⁻³ a⁻³ a⁻³ 1 a^8 a¹⁰ )^ 1 8 & a⁻⁵+a⁻⁴+3 a⁻³+1+a^8+a¹⁰ 8 1 aligned Hence, minimum value is 8 .

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