Respuesta :

Answer:

5^6

Step-by-step explanation:

look at attachment

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MisterBrian

Answer:

5^6

Step-by-step explanation:

[tex]5^{(12)}⋅5^{(-5)}/(5^{(3)}⋅5^{(-2)})[/tex]

Laws Of Indices:

  • a^n * a^b = a^(n+b) ...(i)
  • a^n/a^b = a^(n-b) ...(ii)

Usage of law 1:

Thus for numerator,

  • 5^(12+(-5)) = 5^(12-5) = 5^7

For denominator,

  • 5^(3+(-2)) = 5^(3-2) = 5

Now

  • 5^7/5^1

Usage of law 2:

  • 5^(7-1) = 5^6

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