Question

Ayudenme por FAVOOOOOOOOOOOOOOOOOOOOOOR

Answer 1

PROBLEMA 1

$M = {5}^{15} \times {5}^{17} \times {5}^{ - 30} \times {5}^{11} \times {5}^{ - 10} \\ M = {5}^{15 + 17 - 30 + 11 - 10} \\ M = {5}^{3} \\ M = 125 \\ \\ N = {x}^{9} \times {x}^{7} \times {x}^{ - 6} \times {x}^{18} \times {x}^{ - 3} \\ N = {x}^{ 9+7 - 6 + 18 - 3 } \\ N = {x}^{25} \\ \\ V = \frac{ {7}^{36} \times {7}^{ - 11} }{ {7}^{17} \times {7}^{7} } \\ V = \frac{ {7}^{36 - 11} }{ {7}^{17 + 7} } \\ V = \frac{ {7}^{25} }{ {7}^{24} } \\ V = 7$

PROBLEMA 4

$K = (( \frac{1}{5} ) {}^{ - 2} + ( \frac{4}{5} ) {}^{ - 2} + ( \frac{16}{7}) {}^{ - 1} ) {}^{ \frac{1}{3} } \\ K = (( {5})^{2} + ( \frac{5}{4} ) {}^{2} + ( \frac{7}{16} )) {}^{ \frac{1}{3} } \\ K = ( 25 + \frac{25}{16} + \frac{7}{16} ) {}^{ \frac{1}{3} } \\ K = (25 + \frac{32}{16} ) {}^{ \frac{1}{3} } \\ K =(25 + 2) {}^{ \frac{1}{3} } \\ K = (27) {}^{ \frac{1}{3} } \\ K = \sqrt[3]{27} \\ K = 3$

OTROS PROBLEMAS

$M = \frac{ {35}^{x + 2} \times {25}^{x} }{ {7}^{x + 1} \times {125}^{x} } \\ M = \frac{ {7}^{x + 2} \times {5}^{x + 2} \times {5}^{2x} }{ {7}^{x + 1} \times {5}^{3x} } \\ M = \frac{ {7}^{x + 2} \times {5}^{x + 2 + 2x} }{ {7}^{x + 1} \times {5}^{3x} } \\ M = \frac{ {7}^{x + 2} \times {5}^{3x + 2} }{ {7}^{x + 1} \times {5}^{3x} } \\ M = {7}^{x + 2 - x - 1} \times {5}^{3x + 2 - 3x} \\ M = {7}^{1} \times {5}^{2} \\ M = 7 \times 25 \\ M = 175 \\ \\ S = (( \frac{2}{3} ) {}^{ - 4} ) {}^{ { {4}^{ - 2} }^{ - 1} } \\ S = (( \frac{2}{3} ) {}^{ - 4} ) {}^{ \frac{1}{2} } \\ S = ( \frac{2}{3} ) {}^{ - 2} \\ S =( \frac{3}{2} ) {}^{2} \\ S = \frac{9}{4} \\ \\ K = (( \frac{1}{2} ) {}^{ - 6} ) {}^{ \frac{1}{3} } \\ K = ( \frac{1}{2} ) {}^{ - 2} \\ K = {2}^{2} \\ K = 4$