brainliest12 brainliest12
  • 20-02-2020
  • Mathematics
contestada

please help me solve the expression for “n”

please help me solve the expression for n class=

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 23-02-2020

Answer:

  n = 2

Step-by-step explanation:

In order for the ratio to have a value of 1, the sum of exponents in the numerator must equal the sum of exponents in the denominator:

  n + 7 = 9

  n = 9 -7 . . . . . . subtract 7 from both sides of the equation

  n = 2

___

Alternatively, you can simplify the given expression:

  [tex]\dfrac{9^n(9^7)}{9^9}=1=\dfrac{9^n}{9^2}[/tex]

Hopefully, it is clear to you that the value of n must be 2 in order to make the numerator equal to the denominator.

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