Question

Me podrias ayudar porfavor con "explicación" ​

Answer 1

Respuesta:

14)

$factorizamos \: {5}^{4} \\ a = \frac{ {5}^{4} (1 + 5)}{ {5}^{4} } \\simplificamos \\ a = 1 + 5 \\ a = 6$

15)

$invertimos \: las \: fracciones\\ h = {3}^{3} . {9}^{2} .27 \\ h = {3}^{3} {( {3}^{2} )}^{2} ( {3}^{3} ) \\ h = {3}^{2} \times {3}^{4} \times {3}^{3} \\ h = {3}^{9}$

16)

$n = \frac{ {32}^{4} }{ {8}^{3} \times {16}^{2} } \\ n = \frac{( {{2}^{5})}^{4} }{ {( {2}^{3}) }^{3} \times { ({2}^{4}) }^{2} } \\ n = \frac{{2}^{20} }{ {2}^{9} \times {2}^{8} } \\ n = {2}^{20 - 9 - 8} \\ n = {2}^{3} \\ n = 8$

17)

$p = \frac{ ({3}^{5} \times {5}^{5} )( {2}^{3} \times {7}^{3} )( {2}^{3} \times 3)}{( {2}^{2} \times {3}^{2} \times {5}^{2} ) ({5}^{3} \times {7}^{3} ) ({2}^{4} \times {3}^{4} )} \\ p = \frac{ {2}^{3 + 3} \times {3}^{5 + 1} \times {5}^{5} \times {7}^{3} }{ {2}^{2 + 4} \times {3}^{2 + 4} \times {5}^{2 + 3} \times {7}^{3} } \\ p = \frac{ {2}^{6} \times {3}^{6} \times {5}^{5} \times {7}^{3 } }{ {2}^{6} \times {3}^{6} \times {5}^{5} \times {7}^{3} } \\ p = {2}^{0} \times {3}^{0} \times {5}^{0} \times {7}^{0} \\ p = 1$

18)

$m = {(\frac{5}{3} )}^{2} + \frac{2}{9} - 1 \\ m = \frac{25}{9} + \frac{2}{9} - 1 \\ m = \frac{27}{9} - 1 \\ m = 3 - 1 \\ m = 2$