Question

What is the value of b in the equation below?

Answer 1

I'm not 100% but i think its A: 3

Answer 2

For this case we have that by definition of power properties:

$\frac {a ^ m} {a ^ n} = a ^ {m-n}$

We have the following expression:

$\frac {5 ^ 6} {5 ^ 2} = a ^ b$

It can be rewritten as:

So:

$\frac {5 ^ 6} {5 ^ 2} = 5 ^ {6-2} = 5 ^ {4} = a ^ b$

So, $b = 4\ and\ a = 5$

Answer:

Option B