Question

Would you please simplify the following problems:

(4t)^2t^0/t^6v-8

p^-3/p^-2r^3

Thank you for your help.

Answer 1

t^0 = 1

negative exponents cause switch between top and bottom

(4t)^2t^0/t^6v-8
= 16t^2 * v^8/t^6
= 16v^8/t^4
or 16 t^-4 v^8

p^-3/p^-2r^3
= 1/p^3 / (r^3/p^2)
= p^2/(p^3r^3)
= 1/(pr^3)
or p^-1 r^-3