Question

5^10 + 5^10 + 5^10 / 15 elevado = ^



O resultado é 5^9
Mais como eu chego a esse resultado?

Answer 1

Olá, Ragnarokee!

$5^{10} = 9765625$

Logo:

$\frac{9765625+9765625+9765625}{15} = \frac{29296875}{15} = \boxed{1953125}$

Colocando 1953125 na base 5, temos:

1953125 = 5^9 (5.5.5.5.5.5.5.5.5)

Answer 2

$\frac{5^{10}\cdot5^{10}\cdot5^{10}}{15}=\\\\\\\frac{5^{10}(1+1+1)}{3\cdot5}=\\\\\\\frac{3\cdot5^{10}}{3\cdot5}=\\\\\\\frac{5^{10}}{5}=\\\\\\5^{10-1}=\\\\\\\boxed{5^9}$