Respuesta :

[tex]\\ \rm\longmapsto (a-b)\sqrt{a-b}[/tex]

[tex]\\ \rm\longmapsto (a-b)(a-b)^{\frac{1}{2}}[/tex]

[tex]\\ \rm\longmapsto (a-b)^{1+\dfrac{1}{2}}[/tex]

[tex]\\ \rm\longmapsto (a-b)^{\dfrac{3}{2}}[/tex]

Answer:

[tex]\dashrightarrow \: { \tt{(a - b) \sqrt{a - b} }} \\ \\ \dashrightarrow \: { \tt{ {(a - b)}^{1} {(a - b)}^{ \frac{1}{2} } }}[/tex]

• from law of indices:

[tex]{ \boxed{ \rm{ ({x}^{n} )( {x}^{m} ) = {x}^{(n + m)} }}}[/tex]

therefore:

[tex]\dashrightarrow \: { \tt{ {(a - b)}^{(1 + \frac{1}{2} )} }} \\ \\ \dashrightarrow \: { \tt{ {(a - b)}^{ \frac{3}{2} } }}[/tex]

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