Mongolo Mongolo
  • 09-05-2021
  • Mathematics
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What value of n makes the equation true? Show your work.

What value of n makes the equation true Show your work class=

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SOFlA
SOFlA SOFlA
  • 09-05-2021

= (7⁵ × 7ⁿ)⁴ = (7¹⁶/7ⁿ)³

= (7²⁰ × 7⁴ⁿ) = (7¹⁶ × 7-ⁿ)³

= 7²⁰⁺ ⁴ⁿ = 7⁴⁸ ⁻ ³ⁿ

= 20 + 4n = 48 - 3n

= 20 - 48 = -3n - 4n

= -28 = -7n

= -28/-7 = n

= 4 = n

_____________

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