Problema Solution

(7/10) to the third power. i am multiplying fractions and mixed numbers...im writing each answer in simplest form. i need steps to how to do it

Answer provided by our tutors

(7/10)^3

First do 7^3.  This will be the numerator of the solution. 7*7*7 = 49*7 = 343

Now do 10^3.  This will be the denominator of the solution. 10*10*10 = 100*10 = 1000

So the solution is 343/1000.  The two numbers have no GCF, so this is as simplified as you can get. (They have no GCF because the prime factors of 343 are all 7s and the prime factors of 1000 are all 2s and 5s)