Question

[tex]\dfrac{ ( }{ 2 } 3 ) ^{ 6 } \dfrac{ ( }{ 2 } 3 ) ^{ -8 } \dfrac{ ( }{ 2 } 3 ) ^{ 4 }[/tex]
ayuda por favor​

Answer 1

Verified answer

Respuesta:

[tex]\frac{9}{4}\quad \left(\mathrm{Decimal:\quad }\:2.25\right)[/tex]

Explicación paso a paso:

[tex]\left(\frac{3}{2}\right)^6\left(\frac{3}{2}\right)^{-8}\left(\frac{3}{2}\right)^4[/tex]

[tex]\left(\frac{3}{2}\right)^{6-8+4}[/tex]

[tex]\left(\frac{3}{2}\right)^2[/tex]

[tex]\frac{3^2}{2^2}[/tex]

[tex]\frac{9}{2^2}[/tex]

[tex]\frac{9}{4}[/tex]