Question

I have a basic exponential division question that I am pretty sure my Pearson is incorrect about.

Answer 1

Answer:

     7^(n/5) / 7^((n -1)/5) = 7^(1/5)

Step-by-step explanation:

First of all, you need parentheses on exponents that include any sort of arithmetic. You also need parentheses on any numerator or denominator that includes any sort of arithmetic. We assume you're interested in ...

  7^(n/5) / 7^((n -1)/5)

Your subtraction needs to take into account the distributive property. The outside factor (-1) applies to every inside term.

  $\dfrac{n}{5}-\dfrac{n-1}{5}=\dfrac{n-(n-1)}{5}=\dfrac{n-n+1}{5}=\dfrac{1}{5}$