Solve 9*10^9*6.4*10^-12*1.6*10^12/0.04^2

$$9 \times { 10 }^{ 9 } \times \frac{ 6.4 \times { 10 }^{ -12 } \times 1.6 \times { 10 }^{ 12 } }{ { 0.04 }^{ 2 } }$$

Evaluate

$$57600000000000$$

Solution Steps

Multiply 10^{-12} and 10^{12} to get 1.

$$9\times 10^{9}\times \frac{6.4\times 1.6}{0.04^{2}}$$

Calculate 10 to the power of 9 and get 1000000000.

$$9\times 1000000000\times \frac{6.4\times 1.6}{0.04^{2}}$$

Multiply 9 and 1000000000 to get 9000000000.

$$9000000000\times \frac{6.4\times 1.6}{0.04^{2}}$$

Multiply 6.4 and 1.6 to get 10.24.

$$9000000000\times \frac{10.24}{0.04^{2}}$$

Calculate 0.04 to the power of 2 and get 0.0016.

$$9000000000\times \frac{10.24}{0.0016}$$

Expand \frac{10.24}{0.0016} by multiplying both numerator and the denominator by 10000.

$$9000000000\times \frac{102400}{16}$$

Divide 102400 by 16 to get 6400.

$$9000000000\times 6400$$

Multiply 9000000000 and 6400 to get 57600000000000.

$$57600000000000$$

Factor

$$2^{17}\times 3^{2}\times 5^{11}$$