Question

if 9×3power n=3power6, find the value of n
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Answer 1

Answer:

n=4

Step-by-step explanation:

let 9 = $3^{2}$

$3^{n}$×$3^{2}$ = $3^{6}$

we know that if $a^{x} + a^{y} = a^{x+y}$

∴  $3^{n+2} = 3^{6}$

when bases are equal on both sides, the powers will also be equal.

∴ n + 2 = 6

  n = 6-2

  n = 4

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