Simplify the following-i 3 n - 9 n-13 n-1 - 9 n-1ii 5 - 25 n -1-25 - 52 n 5 - 52 n -3-25 n -1iii 5 n -3-6 - 5 n -19 - 5 x -22 - 5 niv 68 n -1-1623 n -21023 n -1-78 n

(i) 3n #215;9n+13n 1 #215;9n 1=3n #215;32n+13n 1 #215;32n 1=3n #215;32n+23n 1 #215;32n 2 =3n+2n+23n 1+2n 2=33n+233n 3=33n+2 3n+3=35=243 (ii) 5 #2 ...

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Concept of Inequality

Simplify the ...

Question

Simplify the following:
$\frac{3^{n} \times 9^{n + 1}}{3^{n - 1} \times 9^{n - 1}}$

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Solution

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157

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$\frac{5^{n + 3} - 6 \times 5^{n + 1}}{9 \times 5^{n} - 5^{n} \times 2^{2}}$ = 19

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