Question

Simplify
(2m^3n^2)^5

Answer 1

`\large \bf \implies{32 {m}^(15) {n}^(10) }`

Explanation:

`\bf \longrightarrow{(2m^(3)n^(2))^(5) } \\ \\ \bf \longrightarrow {2}^(5) * ( {m}^(3))^(5) * ( {n}^(2))^(5) \\ \\ \bf \longrightarrow32( {m}^(3))^(5)( {n}^(2))^(5) \\ \\ \bf \longrightarrow32 {m}^(15) {n}^(10)`

Note : We have used the two exponent rules:

`(1) \: \: \large \bf \boxed{ \bf \green{(ab)^(n) = {a}^(n) * {b}^(n) }}`

`(2) \: \: \large \bf \boxed{ \bf \green{(a^(n))^(m) = {a}^(nm) }}`