Question

What is the answer to this question please explain (picture included)

Answer 1

easy peasy
just use PEMDAS and some exonential laws


`(x^(m))(x^(n))=x^(m+n)`

`(x^(m))^(n)=x^(mn)`

`(ab)^(m)=(a^(m))(b^(m))`

also another is
`x^{(m)/(n)}=\sqrt[n]{x^(m)}`

so


`[3(2a)^{(3)/(2)}]^(2)`=

`(3^(2))((2a)^{(3)/(2)}^(2))`=

`(9)((2a)^{(3)/(2)}^(2))`=

`(9)((2a)^{(6)/(2))`=

`(9)((2a)^(3))` =

`(9)(8a^(3))` =

`72a^(3)`