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Simplify \(\frac{6^{2n + 1} \times 9^n \times 4^{2n}}{18^n \...

Simplify 62n+1×9n×42n18n×2n×122n

A.

32n

B.

3 x 23n - 1

C.

2n

D.

6

E.

1

Correct answer is D

62n+1×9n×42n18n×2n×122n = (2×32n+1×32n)×24n(2×9)n×2n×(6×22n)

= (22n+1×32n+1)×32n×24n2n×32n×2n×24n×32n

= 22n+1+4n×32n+1+2n2n+n+4n×32n+4n×32n+2n

= 26n+1×34n+126nx34n

= 26n + 1 - 6n x 34n + 1 - 4n

2 x 3 = 6