Question

How do you multiply `6a ( 4a ^ { 2} b ^ { 3} ) ^ { 3}`?

Answer 1

`color(green)(384a^7b^9`

Explanation:

`6a(4a^2b^3)^3`

`:.=6a(4^3a^(2 xx 3)b^(3 xx 3))`

`:.=6a xx (4^3a^(2 xx 3)b^(3 xx 3))`

`:.=6a xx (64a^6b^9)`

`:.=384a^(6+1)b^9`

`:.color(green)(=384a^7b^9`