Question

Please help me solve the expression for “n”

Answer 1

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

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Alternatively, you can simplify the given expression:

  $\dfrac{9^n(9^7)}{9^9}=1=\dfrac{9^n}{9^2}$

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