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 $x^{\frac{m}{n}}=\sqrt[n]{x^{m}}$

so

$[3(2a)^{\frac{3}{2}}]^{2}$=
$(3^{2})((2a)^{\frac{3}{2}}^{2})$=
$(9)((2a)^{\frac{3}{2}}^{2})$=
$(9)((2a)^{\frac{6}{2})$=
$(9)((2a)^{3})$ =
$(9)(8a^{3})$ =
$72a^{3}$