¡Hola!
Las respuestas a tus preguntas son:
a). = 49
b). = 10000
c). = 25
Procedimiento:
a). Resolvemos:
[tex]\frac{\left(-7\right)^2\left(-7\right)^5}{\left(-7\right)^5}[/tex]
[tex]\frac{\left7\right^2\left(-7\right)^5}{\left(-7\right)^5}[/tex]
[tex]\frac{\left49\right\left(-7\right)^5}{\left(-7\right)^5}[/tex]
[tex]\frac{\left49\right\left-7\right^5}{\left-7\right^5}[/tex]
[tex]\frac{\left49\right\left-16807}{\left-16807}[/tex]
[tex]\frac{-823543}{-16807}[/tex]
[tex]\frac{823543}{16807}[/tex]
49
b). Resolvemos:
[tex]\frac{10^310^510^2}{10^410^2}[/tex]
[tex]\frac{10^{8}10^{2}}{10^{4}10^{2} }[/tex]
[tex]\frac{10^{10}}{10^{4}10^{2} }[/tex]
[tex]\frac{10^{10}}{10^{6}}[/tex]
[tex]10^{10-6}[/tex]
[tex]10^{4}[/tex]
10000
c) Resolvemos:
[tex][(\frac{-15}{3})^{2} ][/tex]
[tex](-\frac{15}{3})^{2}[/tex]
[tex](-5)^{2}[/tex]
[tex]5^{2}[/tex]
25
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¡Hola!
Las respuestas a tus preguntas son:
a). = 49
b). = 10000
c). = 25
Procedimiento:
a). Resolvemos:
[tex]\frac{\left(-7\right)^2\left(-7\right)^5}{\left(-7\right)^5}[/tex]
[tex]\frac{\left7\right^2\left(-7\right)^5}{\left(-7\right)^5}[/tex]
[tex]\frac{\left49\right\left(-7\right)^5}{\left(-7\right)^5}[/tex]
[tex]\frac{\left49\right\left-7\right^5}{\left-7\right^5}[/tex]
[tex]\frac{\left49\right\left-16807}{\left-16807}[/tex]
[tex]\frac{-823543}{-16807}[/tex]
[tex]\frac{823543}{16807}[/tex]
49
b). Resolvemos:
[tex]\frac{10^310^510^2}{10^410^2}[/tex]
[tex]\frac{10^{8}10^{2}}{10^{4}10^{2} }[/tex]
[tex]\frac{10^{10}}{10^{4}10^{2} }[/tex]
[tex]\frac{10^{10}}{10^{6}}[/tex]
[tex]10^{10-6}[/tex]
[tex]10^{4}[/tex]
10000
c) Resolvemos:
[tex][(\frac{-15}{3})^{2} ][/tex]
[tex](-\frac{15}{3})^{2}[/tex]
[tex](-5)^{2}[/tex]
[tex]5^{2}[/tex]
25
Espero haberte ayudado.
¡Saludos!.