Simplify and express each of the following in exponential form:

(2^8 × a^5 )/ (4^3 × a^3 )

Dear Student

(4)^3can be written as = (2 × 2)^3
= (2^2)^3

(5^2)^4 can be written as = 2^2×3 = 2^6 ... [∵(a^m)^n ) = a^mn
Then
= (2^8× a^5)/ (2^6× a^3)
=2^8-6 × a^5-3 ... [∵a^m÷a^n = a^m-n ]
= 2^2× a^2
= 2a^2 ... [∵(a^m)^n ) = a^mn

Thanks