Need to use the properties of exponents to solve this equation. I'm a bit confused on how to do this problem so a step by step demonstration would be much appreciated

(4*10^8) (4*10^-7) / (4*10^8)

Step-by-step explanation:

The given expression is

(4*10^8) (4*10^-7) / (4*10^8)

Considering the property of exponents which is expressed as

y^a * y^b = y^ (a + b)

Applying the above rule to the denominator of the given expression, it becomes

4*10^8 * 4*10^-7 = 16 * 10^ (8 + - 7)

= 16 * 10^ (8 - 7)

= 16 * 10 = 160

The expression becomes

16 * 10 / (4*10^8)

We would apply the property of exponents which is expressed as

y^a : y^b = y^ (a - b)

It becomes

16/4 * 10^ (1 - 8)

= 4 * 10^-7