Solve 4pi^2*1.02/left(101.5div50right)^22

$$\frac{ 4 { \pi }^{ 2 } \times 1.02 }{ { \left(101.5 \div 50 \right) }^{ 22 } }$$

Evaluate

$$\frac{408000000000000000000000000000000000000000000\pi ^{2}}{581986397348652743429800199915791014181914240392809}\approx 0.000006919$$

Solution Steps

Multiply 4 and 1.02 to get 4.08.

$$\frac{4.08\pi ^{2}}{\left(\frac{101.5}{50}\right)^{22}}$$

Expand \frac{101.5}{50} by multiplying both numerator and the denominator by 10.

$$\frac{4.08\pi ^{2}}{\left(\frac{1015}{500}\right)^{22}}$$

Reduce the fraction \frac{1015}{500} to lowest terms by extracting and canceling out 5.

$$\frac{4.08\pi ^{2}}{\left(\frac{203}{100}\right)^{22}}$$

Calculate \frac{203}{100} to the power of 22 and get \frac{581986397348652743429800199915791014181914240392809}{100000000000000000000000000000000000000000000}.

$$\frac{4.08\pi ^{2}}{\frac{581986397348652743429800199915791014181914240392809}{100000000000000000000000000000000000000000000}}$$

Divide 4.08\pi ^{2} by \frac{581986397348652743429800199915791014181914240392809}{100000000000000000000000000000000000000000000} by multiplying 4.08\pi ^{2} by the reciprocal of \frac{581986397348652743429800199915791014181914240392809}{100000000000000000000000000000000000000000000}.

$$\frac{4.08\pi ^{2}\times 100000000000000000000000000000000000000000000}{581986397348652743429800199915791014181914240392809}$$

Multiply 4.08 and 100000000000000000000000000000000000000000000 to get 408000000000000000000000000000000000000000000.

$$\frac{408000000000000000000000000000000000000000000\pi ^{2}}{581986397348652743429800199915791014181914240392809}$$