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

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

Factor

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

Solution Steps

Divide x by x to get 1.

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

To raise a power to another power, multiply the exponents. Multiply 2 and 22 to get 44.

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

Calculate 5 to the power of 2 and get 25.

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

Calculate 7 to the power of 2 and get 49.

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

Multiply \frac{25}{49} and 52 to get \frac{1300}{49}.

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

Add \frac{1300}{49} and 1 to get \frac{1349}{49}.

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

Calculate 2 to the power of 2 and get 4.

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

Calculate 2 to the power of 44 and get 17592186044416.

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

Calculate 100000 to the power of 2 and get 10000000000.

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

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 49 and 10000000000 is 490000000000. Multiply \frac{1349}{49} times \frac{10000000000}{10000000000}. Multiply \frac{\left(x^{2}\right)^{4^{17592186044416}}}{10000000000} times \frac{49}{49}.

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

Since \frac{1349\times 10000000000}{490000000000} and \frac{49\left(x^{2}\right)^{4^{17592186044416}}}{490000000000} have the same denominator, add them by adding their numerators.

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

To add or subtract expressions, expand them to make their denominators the same. Multiply x times \frac{10000000000}{10000000000}.

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

Since \frac{10000000000x}{10000000000} and \frac{\left(x^{2}\right)^{4^{17592186044416}}}{10000000000} have the same denominator, add them by adding their numerators.

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

Factor out \frac{1}{490000000000}.

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

Evaluate

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