Resolver 2^4-9left(8-6(3^2-6*5-7left(9+7^3right)+10)-5right)+8left(36/6-5*2*3right)

$${ 2 }^{ 4 } -9 \left( 8-6( { 3 }^{ 2 } -6 \cdot 5-7 \left( 9+ { 7 }^{ 3 } \right) +10)-5 \right) +8 \left( \frac{ 36 }{ 6 } -5 \cdot 2 \cdot 3 \right)$$

Calcular

$$-133853$$

Pasos da solución

Calcula 2 á potencia de 4 e obtén 16.

$$16-9\left(8-6\left(3^{2}-6\times 5-7\left(9+7^{3}\right)+10\right)-5\right)+8\left(\frac{36}{6}-5\times 2\times 3\right)$$

Calcula 3 á potencia de 2 e obtén 9.

$$16-9\left(8-6\left(9-6\times 5-7\left(9+7^{3}\right)+10\right)-5\right)+8\left(\frac{36}{6}-5\times 2\times 3\right)$$

Multiplica 6 e 5 para obter 30.

$$16-9\left(8-6\left(9-30-7\left(9+7^{3}\right)+10\right)-5\right)+8\left(\frac{36}{6}-5\times 2\times 3\right)$$

Resta 30 de 9 para obter -21.

$$16-9\left(8-6\left(-21-7\left(9+7^{3}\right)+10\right)-5\right)+8\left(\frac{36}{6}-5\times 2\times 3\right)$$

Calcula 7 á potencia de 3 e obtén 343.

$$16-9\left(8-6\left(-21-7\left(9+343\right)+10\right)-5\right)+8\left(\frac{36}{6}-5\times 2\times 3\right)$$

Suma 9 e 343 para obter 352.

$$16-9\left(8-6\left(-21-7\times 352+10\right)-5\right)+8\left(\frac{36}{6}-5\times 2\times 3\right)$$

Multiplica 7 e 352 para obter 2464.

$$16-9\left(8-6\left(-21-2464+10\right)-5\right)+8\left(\frac{36}{6}-5\times 2\times 3\right)$$

Resta 2464 de -21 para obter -2485.

$$16-9\left(8-6\left(-2485+10\right)-5\right)+8\left(\frac{36}{6}-5\times 2\times 3\right)$$

Suma -2485 e 10 para obter -2475.

$$16-9\left(8-6\left(-2475\right)-5\right)+8\left(\frac{36}{6}-5\times 2\times 3\right)$$

Multiplica 6 e -2475 para obter -14850.

$$16-9\left(8-\left(-14850\right)-5\right)+8\left(\frac{36}{6}-5\times 2\times 3\right)$$

O contrario de -14850 é 14850.

$$16-9\left(8+14850-5\right)+8\left(\frac{36}{6}-5\times 2\times 3\right)$$

Suma 8 e 14850 para obter 14858.

$$16-9\left(14858-5\right)+8\left(\frac{36}{6}-5\times 2\times 3\right)$$

Resta 5 de 14858 para obter 14853.

$$16-9\times 14853+8\left(\frac{36}{6}-5\times 2\times 3\right)$$

Multiplica 9 e 14853 para obter 133677.

$$16-133677+8\left(\frac{36}{6}-5\times 2\times 3\right)$$

Resta 133677 de 16 para obter -133661.

$$-133661+8\left(\frac{36}{6}-5\times 2\times 3\right)$$

Divide 36 entre 6 para obter 6.

$$-133661+8\left(6-5\times 2\times 3\right)$$

Multiplica 5 e 2 para obter 10.

$$-133661+8\left(6-10\times 3\right)$$

Multiplica 10 e 3 para obter 30.

$$-133661+8\left(6-30\right)$$

Resta 30 de 6 para obter -24.

$$-133661+8\left(-24\right)$$

Multiplica 8 e -24 para obter -192.

$$-133661-192$$

Resta 192 de -133661 para obter -133853.

$$-133853$$

Factorizar

$$-133853$$