Question

calcule: a)
${(2x}^{2} {y}^{3} ) ^{3}$
b)
$( \frac{2}{3} {x}^{5} y) ^{2}$

Answer 1

a)
$(2 {x}^{2} {y}^{3} {)}^{3} = (2 {x}^{2} {y}^{3} )( {2x}^{2} {y}^{3} )( {2x}^{2} {y}^{3} ) = \\ 8 {x}^{6} {y}^{9}$

b)
$( \frac{2}{3} {x}^{5} y {)}^{2} = ( \frac{2}{3} {x}^{5} y)( \frac{2}{3} {x}^{5} y) = \\ \\ \frac{4}{9} {x}^{10} {y}^{2}$