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Popular >

simplificar (4/9)^{3/2}

Solución

simplificar

(\frac{4}{9})^{\frac{3}{2}}

Solución

\frac{8}{27}

+1

Notación decimal

0.29629 \dots

Pasos de solución

(\frac{4}{9})^{\frac{3}{2}}

Aplicar las leyes de los exponentes:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{4 ^{\frac{3}{2}}}{9 ^{\frac{3}{2}}}

4^{\frac{3}{2}} = 8

= \frac{8}{9 ^{\frac{3}{2}}}

9^{\frac{3}{2}} = 27

= \frac{8}{27}

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