Question

What would (2a²b)² be? Stuck on this Algebra.

Answer 1

`(2a^2b)^2=2^2(a^2)^2b^2=4a^(2\cdot2)b^2=4a^4b^2\\\\Used:(x\cdot y)^n=x^n\cdot y^n\ and\ (x^n)^m=x^(n\cdot m)`

Answer 2

`{ \left( 2{ a }^( 2 )b \right) }^( 2 )\\ \\ =\left( 2{ a }^( 2 )b \right) \left( 2{ a }^( 2 )b \right) \\ \\ =2\cdot 2\cdot { a }^( 2 )\cdot { a }^( 2 )\cdot b\cdot b\\ \\ =4{ a }^( 4 ){ b }^( 2 )`