Question

Can anyone help me on this one

Answer 1

Hello !

Answer :

• 
  `{x}^{ - (8)/(3) }`
• 
  `\sqrt[3]{ {x}^( - 8) }`
• 
  `\sqrt[3]{ ({x}^( 4)) {}^( - 2) }`

Explanation :

`\to \boxed{ ({x}^(a)) {}^(b) = {x}^(ab) }`

`\to \boxed{ {x}^{ (1)/(n) } {}^{} = \sqrt[n]{x} }`

`({x}^(4) ) {}^{ - (2)/(3) } = {x}^{- (2)/(3) * 4} \\ \boxed{= {x}^{ - (8)/(3) } } \\ \boxed{= \sqrt[3]{ {x}^( - 8) }} \\ \boxed{ = \sqrt[3]{ ({x}^( 4)) {}^( - 2) }}`

Have a nice day ;)