Question

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)

Answer 1

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