Question

What is the value of b in the equation below?

Answer 1

when dividing subtract the powers

 so  you would do 6-2 = 4

 so b = 4

Answer 2

Answer:

The value of b is 4.

Step-by-step explanation:

The given equation is

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

According to the property of exponent,

$\frac{x^a}{x^b}=x^{a-b}$

Using this property of exponent, the given equation can be written as

$5^{6-2}=a^b$

$5^{4}=a^b$

On comparing both the sides, we get

$a=5,b=4$

Therefore the value of b is 4.