Дано $$frac{100^{n}}{4^{n – 2} cdot 5^{2 n – 1}}$$ Степени $$100^{n} 2^{- 2 n + 4} cdot 5^{- 2 n + 1}$$ 2 – n 1 – 2*n n 4 *5 *100 $$100^{n} 4^{- n + 2} cdot 5^{- 2…
Дано $$frac{sin{left (a right )} + sin{left (3 a right )} + sin{left (5 a right )}}{cos{left (a right )} + cos{left (3 a right )} + cos{left (5 a right )}}$$ Подстановка условия $$frac{sin{left (a right )} + sin{left…
Дано $$64 a^{2} – left(- a + 8right)^{2}$$ Подстановка условия $$64 a^{2} – left(- a + 8right)^{2}$$ 64*(-4)^2 – (8 – (-4))^2 $$64 (-4)^{2} – left(- (-4) + 8right)^{2}$$ 64*(-4)^2 – (8 – (-4))^2 $$- left(- -4 + 8right)^{2} +…
Дано $$- cos{left (3 x right )} + frac{2}{9} cos{left (3 x right )}$$ Подстановка условия $$- cos{left (3 x right )} + frac{2}{9} cos{left (3 x right )}$$ (2*cos(3*(1/3)))/9 – cos(3*(1/3)) $$- cos{left (3 (1/3) right )} + frac{2}{9}…
Дано $$frac{10^{5}}{10000000000000000000}$$ Степени $$frac{1}{100000000000000}$$ Численный ответ 1.00000000000000e-14 Рациональный знаменатель $$frac{1}{100000000000000}$$ Объединение рациональных выражений $$frac{1}{100000000000000}$$ Общее упрощение 1/100000000000000 $$frac{1}{100000000000000}$$ Общий знаменатель 1/100000000000000 $$frac{1}{100000000000000}$$ Комбинаторика 1/100000000000000 $$frac{1}{100000000000000}$$
Дано $$frac{sin{left (x right )}}{5 sqrt{- sin^{2}{left (x right )} + 5}}$$ Подстановка условия $$frac{sin{left (x right )}}{5 sqrt{- sin^{2}{left (x right )} + 5}}$$ sin((2))/(5*sqrt(5 – sin((2))^2)) $$frac{sin{left ((2) right )}}{5 sqrt{- sin^{2}{left ((2) right )} + 5}}$$ sin(2)/(5*sqrt(5…
Дано $$cos{left (2 a right )} + 1 – sin{left (2 a right )}$$ Подстановка условия $$cos{left (2 a right )} + 1 – sin{left (2 a right )}$$ cos(2*(1/2)) + 1 – sin(2*(1/2)) $$cos{left (2 (1/2) right )} +…
Дано $$frac{75 b^{5} c^{3}}{50 b^{4} c^{4}}$$ Степени $$frac{3 b}{2 c}$$ Численный ответ 1.5*b/c Рациональный знаменатель $$frac{3 b}{2 c}$$ Объединение рациональных выражений $$frac{3 b}{2 c}$$ Общее упрощение 3*b — 2*c $$frac{3 b}{2 c}$$ Соберем выражение $$frac{3 b}{2 c}$$ Комбинаторика 3*b —…
Дано $$frac{log{left (2 x – 6 right )}}{log{left (12 right )}}$$ Подстановка условия $$frac{log{left (2 x – 6 right )}}{log{left (12 right )}}$$ log(2*(1/2) – 6)/log(12) $$frac{log{left (2 (1/2) – 6 right )}}{log{left (12 right )}}$$ log(2/2 – 6)/log(12) $$frac{log{left…
Дано $$frac{43980465111040000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}{20} 1$$ Степени $$2199023255552000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000$$ Численный ответ 2.19902325555200e+291 Рациональный знаменатель $$2199023255552000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000$$ Объединение рациональных выражений $$2199023255552000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000$$ Общее упрощение 2199023255552000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 $$2199023255552000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000$$ Общий знаменатель 2199023255552000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 $$2199023255552000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000$$ Комбинаторика 2199023255552000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 $$2199023255552000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000$$