Resolver 5^2/7^2*52+x+xdivx+{left(x^2right)}^{{left(2^2right)}^{left({2^2right)}^22}}div{100000}^2

$$\frac{ { 5 }^{ 2 } }{ { 7 }^{ 2 } } \times 52+x+x \div x+ { \left( { x }^{ 2 } \right) }^{ { \left( { 2 }^{ 2 } \right) }^{ { \left( { 2 }^{ 2 } \right) }^{ 22 } } } \div { 100000 }^{ 2 }$$

Factorizar

$$\frac{490000000000x+49\left(x^{2}\right)^{2^{35184372088832}}[phone]}{490000000000}$$

Pasos da solución

Divide x entre x para obter 1.

$$factor(\frac{5^{2}}{7^{2}}\times 52+x+1+\frac{\left(x^{2}\right)^{\left(2^{2}\right)^{\left(2^{2}\right)^{22}}}}{100000^{2}})$$

Para elevar unha potencia a outra potencia, multiplica os expoñentes. Multiplica 2 e 22 para obter 44.

$$factor(\frac{5^{2}}{7^{2}}\times 52+x+1+\frac{\left(x^{2}\right)^{\left(2^{2}\right)^{2^{44}}}}{100000^{2}})$$

Calcula 5 á potencia de 2 e obtén 25.

$$factor(\frac{25}{7^{2}}\times 52+x+1+\frac{\left(x^{2}\right)^{\left(2^{2}\right)^{2^{44}}}}{100000^{2}})$$

Calcula 7 á potencia de 2 e obtén 49.

$$factor(\frac{25}{49}\times 52+x+1+\frac{\left(x^{2}\right)^{\left(2^{2}\right)^{2^{44}}}}{100000^{2}})$$

Multiplica \frac{25}{49} e 52 para obter \frac{1300}{49}.

$$factor(\frac{1300}{49}+x+1+\frac{\left(x^{2}\right)^{\left(2^{2}\right)^{2^{44}}}}{100000^{2}})$$

Suma \frac{1300}{49} e 1 para obter \frac{1349}{49}.

$$factor(\frac{1349}{49}+x+\frac{\left(x^{2}\right)^{\left(2^{2}\right)^{2^{44}}}}{100000^{2}})$$

Calcula 2 á potencia de 2 e obtén 4.

$$factor(\frac{1349}{49}+x+\frac{\left(x^{2}\right)^{4^{2^{44}}}}{100000^{2}})$$

Calcula 2 á potencia de 44 e obtén 17592186044416.

$$factor(\frac{1349}{49}+x+\frac{\left(x^{2}\right)^{4^{17592186044416}}}{100000^{2}})$$

Calcula 100000 á potencia de 2 e obtén 10000000000.

$$factor(\frac{1349}{49}+x+\frac{\left(x^{2}\right)^{4^{17592186044416}}}{10000000000})$$

Para sumar ou restar expresións, expándeas para facer que os seus denominadores sexan iguais. O mínimo común múltiplo de 49 e 10000000000 é 490000000000. Multiplica \frac{1349}{49} por \frac{10000000000}{10000000000}. Multiplica \frac{\left(x^{2}\right)^{4^{17592186044416}}}{10000000000} por \frac{49}{49}.

$$factor(\frac{1349\times 10000000000}{490000000000}+x+\frac{49\left(x^{2}\right)^{4^{17592186044416}}}{490000000000})$$

Dado que \frac{1349\times 10000000000}{490000000000} e \frac{49\left(x^{2}\right)^{4^{17592186044416}}}{490000000000} teñen o mesmo denominador, súmaos mediante a suma dos seus numeradores.

$$factor(\frac{1349\times 10000000000+49\left(x^{2}\right)^{4^{17592186044416}}}{490000000000}+x)$$

Para sumar ou restar expresións, expándeas para facer que os seus denominadores sexan iguais. Multiplica x por \frac{10000000000}{10000000000}.

$$factor(\frac{1349}{49}+\frac{10000000000x}{10000000000}+\frac{\left(x^{2}\right)^{4^{17592186044416}}}{10000000000})$$

Dado que \frac{10000000000x}{10000000000} e \frac{\left(x^{2}\right)^{4^{17592186044416}}}{10000000000} teñen o mesmo denominador, súmaos mediante a suma dos seus numeradores.

$$factor(\frac{1349}{49}+\frac{10000000000x+\left(x^{2}\right)^{4^{17592186044416}}}{10000000000})$$

Factoriza \frac{1}{490000000000}.

$$\frac{13490000000000+49\left(10000000000x+\left(x^{2}\right)^{4^{17592186044416}}\right)}{490000000000}$$

Calcular

$$\frac{\left(x^{2}\right)^{2^{35184372088832}}}{10000000000}+x+\frac{1349}{49}$$