Answered

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(3^4/3^n)=3^6 what value of N makes equation true

Sagot :

Hrishii

Answer:

n = - 2

Step-by-step explanation:

  • [tex] \huge\bigg (\frac{ {3}^{4} }{ {3}^{n} } \bigg) = {3}^{6}[/tex]

  • [tex]\implies\huge 3^{4-n} = 3^6[/tex]

  • Bases are equal, so exponents will also be equal.

  • [tex]\implies\huge 4 - n = 6[/tex]

  • [tex]\implies\huge - n = 6 - 4[/tex]

  • [tex]\implies\huge - n = 2[/tex]

  • [tex]\implies\huge n = - 2[/tex]
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