Using the laws exponents, simplify each of the following and express in exponential form :
(i)`3^7xx\ 3^(-2)`
(ii) `2^(-7)-:2^(-3)`
(iii) `(5^2)^(-3)`
(iv)`2^(-3)xx\ (-7)^(-3)`
(v) `(3^(-5))/(4^(-5))`

Explanation

(i)`3^7xx\ 3^(-2)``=(3)^5=1/243`

(ii) `2^(-7)-:2^(-3)``=(2)^(-4)=1/16`


(iii) `(5^2)^(-3)``=5^(-6)=(5^6)^-1=1/15625`



(iv)`2^(-3)xx\ (-7)^(-3)``=(-14)^(-3)=-1/2744`

(v) `(3^(-5))/(4^(-5))``=(3/4)^-5 =1024/243`