I don't understand how to solve the follow types of problems with exponets and fractions. If you explain with the examples provided that would be nice.

Question

Ex. 1
4^-6 over 10

Ex. 2
6 over 9^-3

Answer 1

recall
x^-n = 1/x^2
then use the rules of regular fractions

I'll do the 2nd, you do the 1st in the same way:

6 over 9^-3
= 6/(9^-3)
but 9^-3 = 1/9^3 = 1/729

so 6/(9^-3) = 6 / (1/729)
= 6(729/1) = 4374

You can check these with your calculator, or google it
https://www.google.com/search?q=6%2F9%5E-3&rlz=1C5CHFA_enCA690CA690&oq=6%2F9%5E-3&aqs=chrome..69i57j6.6765j0j8&sourceid=chrome&ie=UTF-8

Answer 2

Thank you!

Answer 3

So...
(4^-6)/10
4^-6 = 1/4^6 = 4096
(1/4096) /10
1/40960
Did I do that right?