Question

What is the value of b in the equation below?

Answer 1

The value of b is 4.

Explanation:

The given equation is

`(5^6)/(5^2)=a^b`

According to the property of exponent,

`(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.

Answer 2

when dividing subtract the powers

so you would do 6-2 = 4

so b = 4