Solve 2.9*10^-8500*10^3/3.14*0.04^2

$$2.9 \times { 10 }^{ -8 } \frac{ 500 \times { 10 }^{ 3 } }{ 3.14 \times { 0.04 }^{ 2 } }$$

Evaluate

$$\frac{3625}{1256}\approx 2.886146497$$

Solution Steps

Calculate 10 to the power of -8 and get \frac{1}{100000000}.

$$2.9\times \frac{1}{100000000}\times \frac{500\times 10^{3}}{3.14\times 0.04^{2}}$$

Multiply 2.9 and \frac{1}{100000000} to get \frac{29}{1000000000}.

$$\frac{29}{1000000000}\times \frac{500\times 10^{3}}{3.14\times 0.04^{2}}$$

Calculate 10 to the power of 3 and get 1000.

$$\frac{29}{1000000000}\times \frac{500\times 1000}{3.14\times 0.04^{2}}$$

Multiply 500 and 1000 to get 500000.

$$\frac{29}{1000000000}\times \frac{500000}{3.14\times 0.04^{2}}$$

Calculate 0.04 to the power of 2 and get 0.0016.

$$\frac{29}{1000000000}\times \frac{500000}{3.14\times 0.0016}$$

Multiply 3.14 and 0.0016 to get 0.005024.

$$\frac{29}{1000000000}\times \frac{500000}{0.005024}$$

Expand \frac{500000}{0.005024} by multiplying both numerator and the denominator by 1000000.

$$\frac{29}{1000000000}\times \frac{500000000000}{5024}$$

Reduce the fraction \frac{500000000000}{5024} to lowest terms by extracting and canceling out 32.

$$\frac{29}{1000000000}\times \frac{15625000000}{157}$$

Multiply \frac{29}{1000000000} and \frac{15625000000}{157} to get \frac{3625}{1256}.

$$\frac{3625}{1256}$$

Factor

$$\frac{29 \cdot 5 ^ {3}}{157 \cdot 2 ^ {3}} = 2\frac{1113}{1256} = 2.886146496815287$$