Respuesta :

Answer:

Step-by-step explanation:

[tex]\left(\frac{2^4}{5^9}\right)^3 = \frac{2^{(4\cdot 3)}}{5^{(9\cdot 3)}}=\frac{2^{12}}{5^{27}}[/tex]

[tex]\\ \sf\longmapsto \left(\dfrac{2^4}{5^9}\right)^3[/tex]

[tex]\boxed{\sf (a^m)^n=a^{mn}}[/tex]

[tex]\\ \sf\longmapsto \dfrac{(2^4)^3}{(5^9)^3}[/tex]

[tex]\\ \sf\longmapsto \dfrac{2^{4(3)}}{5^{9(3)}}[/tex]

[tex]\\ \sf\longmapsto \dfrac{2^{12}}{5^{27}}[/tex]

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