Question

(0.0225)^-3/2*(0.0001)^3/4/(0.0125)^1/3 evaluate

Answer 1

Given: (0.0225)^-3/2*(0.0001)^3/4 / (0.0125)^1/3

To find: evaluate  the above expression?

Solution:

• So we have given the term as (0.0225)^-3/2*(0.0001)^3/4/(0.0125)^1/3

• Now to simplify this we will convert it in power forms.

• So:

         = (225 x 10^-4)^-3/2   x   (1 x 10^-4)^3/4    /    (125 x 10^-4)^1/3  

         = (15²)^-3/2 x (10^-4)^-3/2 x (10^-4)^3/4  /  (5³)^1/3  x (10^-4)^1/3

         = 15^-3 x 10^6 x 10^-3    /    5 x 10^-4/3

         = 15^-3 x 10^3   /   5 x 10^-4/3

         = 10^3 / 15^3 / 5 / 10^4/3

         = 10^3 x 10^4/3 / 15^3 x 5

         = 10^13/3 / (5 x 3^3 x 5^3)

         = 10^13/3 / (3^3 x 5^4)

         = 10^13/3 / 5625

Answer:

           So the answer of the 10^13/3 / 5625.