Simplify the Following –
Example.1) Simplify [{(3²)⁻⁴}⁻ᶟ]⁵
Ans.) [{(3²)⁻⁴}⁻ᶟ]⁵
= [{3⁻⁸}⁻ᶟ]⁵ = [3²⁴]⁵ = 3¹²⁰ (Ans.)
16⁴
Example.2) Simplify [ -------- ]⁸
27⁵
16⁴
Ans.) [ -------- ]⁸
27⁵
(2⁴)⁴ 2¹⁶ 2¹²⁸
= [ --------- ]⁸ = [ --------- ]⁸ = ---------- (Ans.)
(3ᶟ)⁵ 3¹⁵ 3¹²⁰
Example.3) Simplify 4√125x¹²
Ans.) 4√625x¹²
= (5⁴x¹²)¹∕⁴ = 5⁴∕⁴ . x¹²∕⁴ = 5¹.xᶟ = 5xᶟ (Ans.)
Example.4) Simplify (27a⁹)²∕ᶟ
Ans.) (27a⁹)²∕ᶟ
= (3ᶟ)²∕ᶟ X (a⁹)²∕ᶟ = 3² X a⁶ = 9a⁶ (Ans.)