Solve -5^2-4^2+1^8/frac{1^2{3}-{-11}^11}

$$\frac{ { -5 }^{ 2 } - { 4 }^{ 2 } + { 1 }^{ 8 } }{ \frac{ { 1 }^{ 2 } }{ 3 } - { -11 }^{ 11 } }$$

Evaluate

$$\frac{15}{427967505917}\approx 3.504938995 \cdot 10^{-11}$$

Solution Steps

Calculate -5 to the power of 2 and get 25.

$$\frac{25-4^{2}+1^{8}}{\frac{1^{2}}{3}-\left(-11\right)^{11}}$$

Calculate 4 to the power of 2 and get 16.

$$\frac{25-16+1^{8}}{\frac{1^{2}}{3}-\left(-11\right)^{11}}$$

Subtract 16 from 25 to get 9.

$$\frac{9+1^{8}}{\frac{1^{2}}{3}-\left(-11\right)^{11}}$$

Calculate 1 to the power of 8 and get 1.

$$\frac{9+1}{\frac{1^{2}}{3}-\left(-11\right)^{11}}$$

Add 9 and 1 to get 10.

$$\frac{10}{\frac{1^{2}}{3}-\left(-11\right)^{11}}$$

Calculate 1 to the power of 2 and get 1.

$$\frac{10}{\frac{1}{3}-\left(-11\right)^{11}}$$

Calculate -11 to the power of 11 and get -285311670611.

$$\frac{10}{\frac{1}{3}-\left(-285311670611\right)}$$

The opposite of -285311670611 is 285311670611.

$$\frac{10}{\frac{1}{3}[phone]}$$

Convert 285311670611 to fraction \frac{855935011833}{3}.

$$\frac{10}{\frac{1}{3}+\frac{855935011833}{3}}$$

Since \frac{1}{3} and \frac{855935011833}{3} have the same denominator, add them by adding their numerators.

$$\frac{10}{\frac{1+855935011833}{3}}$$

Add 1 and 855935011833 to get 855935011834.

$$\frac{10}{\frac{855935011834}{3}}$$

Divide 10 by \frac{855935011834}{3} by multiplying 10 by the reciprocal of \frac{855935011834}{3}.

$$10\times \frac{3}{855935011834}$$

Express 10\times \frac{3}{855935011834} as a single fraction.

$$\frac{10\times 3}{855935011834}$$

Multiply 10 and 3 to get 30.

$$\frac{30}{855935011834}$$

Reduce the fraction \frac{30}{855935011834} to lowest terms by extracting and canceling out 2.

$$\frac{15}{427967505917}$$

Factor

$$\frac{3 \cdot 5}{7 ^ {2} \cdot 157 \cdot 55630769} = 3.50493899480983 \times 10^{-11}$$