Question

Which expression is equivalent to (4y^2)^3 (3y^2)

Answer 1

`\text{Use:}\\\\(a\cdot b)^n=a^n\cdot b^n\\\\(a^n)^m=a^(nm)\\\\a^n\cdot a^m=a^(n+m)\\\\......................................\\\\\left(4y^2\right)^3\left(3y^2\right)=4^3\left(y^2\right)^3\cdot3y^2=64y^(2\cdot3)\cdot3y^2=192y^6y^2=192y^(6+2)=192y^8`

Answer 2

Answer: 192y^8

Explanation: