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Margarita [4]
3 years ago
15

Simplify:[(27^n+2) -6.3^3n+3]÷9^n+2 *3^n​

Mathematics
1 answer:
larisa86 [58]3 years ago
8 0

Step-by-step explanation:

[( {27})^{n + 2}  - 6 \times  {3}^{3n + 3} ]  \div  {9}^{n + 2}  \times  {3}^{n}  \\  \\   =  [(  {3}^{3}) ^{n + 2}  - 2 \times 3 \times  {3}^{3n + 3} ]  \div  {( {3}^{2}) }^{n + 2}  \times  {3}^{n}  \\  \\  =  [ {3} ^{3n + 6}  - 2 \times  {3}^{3n + 4} ]  \div  {{3}}^{2n + 4}  \times  {3}^{n} \\  \\  =  [ {3} ^{3n + 4}  ( {3}^{2} - 2 ) ]  \div  {{3}}^{3n + 4}   \\  \\  =  \frac{ {3} ^{3n + 4}  (9- 2 ) }{{{3}}^{3n + 4}   }  \\  \\  = 7 \\

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