Solve 4pi^2/1.64^20.002+8pi^20.657/1.64^3*0.03

$$\frac{ 4 { \pi }^{ 2 } }{ { 1.64 }^{ 2 } } 0.002+ \frac{ 8 { \pi }^{ 2 } 0.657 }{ { 1.64 }^{ 3 } } \times 0.03$$

Evaluate

$$\frac{10675\pi ^{2}}{275684}\approx 0.382169538$$

Solution Steps

Calculate 1.64 to the power of 2 and get 2.6896.

$$\frac{4\pi ^{2}}{2.6896}\times 0.002+\frac{8\pi ^{2}\times 0.657}{1.64^{3}}\times 0.03$$

Divide 4\pi ^{2} by 2.6896 to get \frac{2500}{1681}\pi ^{2}.

$$\frac{2500}{1681}\pi ^{2}\times 0.002+\frac{8\pi ^{2}\times 0.657}{1.64^{3}}\times 0.03$$

Multiply \frac{2500}{1681} and 0.002 to get \frac{5}{1681}.

$$\frac{5}{1681}\pi ^{2}+\frac{8\pi ^{2}\times 0.657}{1.64^{3}}\times 0.03$$

Multiply 8 and 0.657 to get 5.256.

$$\frac{5}{1681}\pi ^{2}+\frac{5.256\pi ^{2}}{1.64^{3}}\times 0.03$$

Calculate 1.64 to the power of 3 and get 4.410944.

$$\frac{5}{1681}\pi ^{2}+\frac{5.256\pi ^{2}}{4.410944}\times 0.03$$

Divide 5.256\pi ^{2} by 4.410944 to get \frac{82125}{68921}\pi ^{2}.

$$\frac{5}{1681}\pi ^{2}+\frac{82125}{68921}\pi ^{2}\times 0.03$$

Multiply \frac{82125}{68921} and 0.03 to get \frac{9855}{275684}.

$$\frac{5}{1681}\pi ^{2}+\frac{9855}{275684}\pi ^{2}$$

Combine \frac{5}{1681}\pi ^{2} and \frac{9855}{275684}\pi ^{2} to get \frac{10675}{275684}\pi ^{2}.

$$\frac{10675}{275684}\pi ^{2}$$