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SCORPION-xisa [38]
3 years ago
11

Fractional indices pls help

Mathematics
1 answer:
bulgar [2K]3 years ago
5 0

Answer:

Formula used :

  • (a^m)^n = a^(m×n)
  • a^m × a^n = a^(m+n)

27 \times  {9}^{3x} =  {3}^{k} \\  {3}^{3}  \times   { {(3}^{2}) }^{3x}  =  {3}^{k}  \\  {3}^{k}  =  {3}^{3}  \times  {3}^{(2 \times 3x)}  \\  {3}^{k}  =  {3}^{3}  \times  {3}^{6x}  \\  {3}^{k}  =  {3}^{(6x + 3)}  \\  \boxed{k = 6x + 3}

  • <u>k = (6x+3)</u> is the right answer.
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