Solve 9*10^9*(4*8*10^-14)^2/(0.5)^2

$$9 \times 10 ^ { 9 } \times \frac { ( 4 \cdot 8 \times 10 ^ { - 14 } ) ^ { 2 } } { ( 0.5 ) ^ { 2 } }$$

Evaluate

$$0.0000000000000036864$$

Solution Steps

Calculate 10 to the power of 9 and get 1000000000.

$$9\times 1000000000\times \frac{\left(4\times 8\times 10^{-14}\right)^{2}}{0.5^{2}}$$

Multiply 9 and 1000000000 to get 9000000000.

$$9000000000\times \frac{\left(4\times 8\times 10^{-14}\right)^{2}}{0.5^{2}}$$

Multiply 4 and 8 to get 32.

$$9000000000\times \frac{\left(32\times 10^{-14}\right)^{2}}{0.5^{2}}$$

Calculate 10 to the power of -14 and get \frac{1}{100000000000000}.

$$9000000000\times \frac{\left(32\times \frac{1}{100000000000000}\right)^{2}}{0.5^{2}}$$

Multiply 32 and \frac{1}{100000000000000} to get \frac{1}{3125000000000}.

$$9000000000\times \frac{\left(\frac{1}{3125000000000}\right)^{2}}{0.5^{2}}$$

Calculate \frac{1}{3125000000000} to the power of 2 and get \frac{1}{9765625000000000000000000}.

$$9000000000\times \frac{\frac{1}{9765625000000000000000000}}{0.5^{2}}$$

Calculate 0.5 to the power of 2 and get 0.25.

$$9000000000\times \frac{\frac{1}{9765625000000000000000000}}{0.25}$$

Express \frac{\frac{1}{9765625000000000000000000}}{0.25} as a single fraction.

$$9000000000\times \frac{1}{9765625000000000000000000\times 0.25}$$

Multiply 9765625000000000000000000 and 0.25 to get 2441406250000000000000000.

$$9000000000\times \frac{1}{2441406250000000000000000}$$

Multiply 9000000000 and \frac{1}{2441406250000000000000000} to get \frac{9}{2441406250000000}.

$$\frac{9}{2441406250000000}$$

Factor

$$\frac{3 ^ {2}}{2 ^ {7} \cdot 5 ^ {19}} = 3.6864 \times 10^{-15}$$