Answer:
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
