Question

Does anyone know what this is?

Answer 1

`{(4x)}^{ (3)/(2)}`

Explanation:

`\huge \sqrt{( {4x)}^(3) } \\ \\ \huge = \: {(4x)}^{3 * (1)/(2) } \\ \\ {\huge {\red{ \boxed{ = {(4x)}^{ (3)/(2) }}}}}..required \: answer \\ \\ \huge = ( {4})^{ (3)/(2) } {x}^{ (3)/(2) } \\ \\ \huge = ( { {2}^(2) })^{ (3)/(2) } {x}^{ (3)/(2) } \\ \\ \huge = ( { {2} })^( 3 ) {x}^{ (3)/(2) } \\ \\ \huge \: = 8 {x}^{ (3)/(2) }`