Question

si lo resolved ganas si no no ganas nada y te reporto
1)aplicar propiedades y luego resolver
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Answer 1

Respuesta:

$\text{a)}\quad \left(\frac{2}{3}\right)^2\cdot \left(\frac{2}{3}\right)^3 = \left(\frac{2}{3}\right)^5 = \frac{2^5}{3^5}$

$\text{b)}\quad \left(\frac{2}{3}\right)^2\cdot \left(\frac{2}{3}\right)^{-3} = \left(\frac{2}{3}\right)^{-1} = \frac{3}{2}$

$\text{c)}\quad \left(\frac{2}{3}\right)^2\div \left(\frac{2}{3}\right)^{-3} = \left(\frac{2}{3}\right)^2\cdot \left(\frac{2}{3}\right)^{3}= \left(\frac{2}{3}\right)^5 = \frac{2^5}{3^5}$

$\text{d)}\quad \left(\frac{2}{3}\right)^2\div \left(\frac{2}{3}\right)^{-5} = \left(\frac{2}{3}\right)^2\cdot \left(\frac{2}{3}\right)^{5}= \left(\frac{2}{3}\right)^7 = \frac{2^7}{3^7}$

$\text{e)}\quad \left(\frac{2}{3}\right)^2\div \left(\frac{2}{3}\right)^{3} = \left(\frac{2}{3}\right)^2\cdot \left(\frac{2}{3}\right)^{-3}= \left(\frac{2}{3}\right)^{-1} = \frac{3}{2}$

$\text{f)}\quad \left[\left(\frac{2}{3} \right)^2\right]^3 = \left(\frac{2}{3} \right)^6 = \frac{2^6}{3^6}$

$\text{g)}\quad \left[\left[\left(\frac{2}{3} \right)^2\right]^3\right]^{-4} = \left(\frac{2}{3} \right)^{-24} = \left(\frac{3}{2} \right)^{24} = \frac{3^{24}}{2^{24}}$