Question

If 3⁴ × 9⁴ = 3ⁿ, find the value of n *​

Answer 1

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Answer:

${3}^{4} \times 9 {}^{4} = {3}^{4} \times ( {3}^{2} ) {}^{4} = {3}^{4} \times 3 {}^{8} \\ = {3}^{12} \\ \\ {3}^{4} \times 9 {}^{4} = {3}^{n} \\ \\ therefore, \\ {3}^{12} = {3}^{n} \\ n = 12$

Answer 2

$\bold\red{\underline{\underline{Answer:}}}$

$\bold\green{\underline{\underline{Solution}}}$

$\bold{3^{4}=3×3×3×3}$

$\bold{9^{4}=9×9×9×9=3×3×3×3×3×3×3×3}$

$\bold{3^{4}×9^{4}=3×3×3×3×3×3×3×3×3×3×3×3}$

$\bold{3^{4}×9^{4}=3^{12}}$

$\bold{Value \ of \ n \ is \ 12}$