Zjednodušte: {(6 ^ 6) ^ 4 -: (6 ^ 7) ^ 0 xx [(6 ^ 2) ^ 3] ^ 2} ^ 2 -: {[(6 ^ 3) ^ 5xx (6 ^ 2) ^ 3] ^ 3: [(6 ^ 3) ^ 3] ^ 4} ^ 2?

$Zjednodušte: {(6 ^ 6) ^ 4 -: (6 ^ 7) ^ 0 xx [(6 ^ 2) ^ 3] ^ 2} ^ 2 -: {[(6 ^ 3) ^ 5xx (6 ^ 2) ^ 3] ^ 3: [(6 ^ 3) ^ 3] ^ 4} ^ 2?$

odpoveď:

#6^18#

vysvetlenie:

# {(6 ^ 6) ^ 4 -:(6 ^ 7) ^ 0XX (6 ^ 2) ^ 3 ^ 2} ^ 2 - {(6 ^ 3) ^ 5XX (6 ^ 2) ^ 3 ^ 3 - (6 ^ 3) ^ 3 ^ 4} ^ 2 #

= # {6 ^ (24) -: 6 ^ 0xx6 ^ (12)} ^ 2 - {6 ^ (15) xx6 ^ 6 ^ 3 - 6 ^ 9 ^ 4} ^ 2 #

= #{6^(24-0+12)}^2-:{6^(15+6)^3-:6^36}^2#

= #{6^(36)}^2-:{6^(21)^3-:6^36}^2#

= #6^(72)-:{6^(63)-:6^36}^2#

= #6^(72)-:{6^(63-36)}^2#

= #6^(72)-:{6^(27)}^2#

= #6^(72)-:6^(54)#

= #6^(72-54)#

= #6^18#

Náklady na cestovný lístok na koncert s 3% daňou z predaja môžu byť reprezentované výrazom t + 0,03t. Zjednodušte výraz. Aká je celková cena po dani z predaja, ak je pôvodná cena 72 USD?

1 * t + 0.03 * t = (1 + 0.03) * t = 1.03t Celková cena, ak pôvodná cena t = 72 USD: 1.03 * 72 USD = 74,16 USD

Zjednodušte tento výraz: [(6-3 / 5) xx (1/4 + 2 / 9-5 / 12) + 3 / 2xx (9 / 2-7 / 4-5 / 2)] xx2 / 27 + 1 / 4?

= 3/10 Krok 1: Vyriešte: a. (6-3 / 5) = 27/5 b. (1/4 + 2/9 -5/12) = 1/18 c. (9/2 -7 / 4-5 / 2) = 1/4 Krok 2: vynásobte a. (27/5) * (1/18) = 3/10 b. (3/2) * (1/4) = 3/8 Krok 3: Pridáme výrobok a. (3/10) + (3/8) = 27/40 Krok 4: vynásobte a. [27/40] * (2/27) = 1/20 Krok 5: Pridáme výrobok (opäť: v) a. 1/20 + 1/4 = 3/10 Zhrnutie je: = [(27/5) * (1/18) + (3/2) * (1/4)] * (2/27) + 1 / 4 = [(3/10) + (3/8)] * (2/27) + 1/4 = [27/40] * (2/27) + 1/4 = [zrušiť (27) / zrušiť ( 40)] * (zrušiť (2) / zrušiť (27)) + 1/4 = 1/20 + 1/4 = 1/20 + 1/4 = 3/10

Zjednodušte (1- cos theta + sin theta) / (1+ cos theta + sin theta)?

= sin (theta) / (1 + cos (theta)) (1-cos (theta) + sin (theta)) / (1 + cos (theta) + sin (theta)) = (1-cos (theta) + sin (theta) * (1 + cos (theta) + sin (theta)) / (1 + cos (theta) + sin (theta)) ^ 2 = ((1 + sin (theta)) ^ 2-cos ^ 2 (theta)) / (1 + cos ^ 2 (theta) + sin2 (theta) +2 sin (theta) +2 cos (theta) + 2 sin (theta) cos (theta) = ((1+) sin (theta)) 2-cos2 (theta)) / (2 + 2 sin (theta) +2 cos (theta) + 2 sin (theta) cos (theta)) = ((1 + sin (theta) ) 2-cos2 (theta) / (2 (1 + cos (theta)) + 2 sin (theta) (1 + cos (theta)) = (1/2) ((1 + sin (theta)) ) 2-cos2 (theta)) / ((1 + cos (theta)) (1 + sin (theta)) = (1/2) (1