Solve 9*10^9*(4.8*10^-14)^2/(0.5)^2

$$9 \times 10 ^ { 9 } \times \frac { ( 4.8 \times 10 ^ { - 14 } ) ^ { 2 } } { ( 0.5 ) ^ { 2 } }$$

Evaluate

$$0.000000000000000082944$$

Solution Steps

Calculate 10 to the power of 9 and get 1000000000.

$$9\times 1000000000\times \frac{\left(4.8\times 10^{-14}\right)^{2}}{0.5^{2}}$$

Multiply 9 and 1000000000 to get 9000000000.

$$9000000000\times \frac{\left(4.8\times 10^{-14}\right)^{2}}{0.5^{2}}$$

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

$$9000000000\times \frac{\left(4.8\times \frac{1}{100000000000000}\right)^{2}}{0.5^{2}}$$

Multiply 4.8 and \frac{1}{100000000000000} to get \frac{3}{62500000000000}.

$$9000000000\times \frac{\left(\frac{3}{62500000000000}\right)^{2}}{0.5^{2}}$$

Calculate \frac{3}{62500000000000} to the power of 2 and get \frac{9}{3906250000000000000000000000}.

$$9000000000\times \frac{\frac{9}{3906250000000000000000000000}}{0.5^{2}}$$

Calculate 0.5 to the power of 2 and get 0.25.

$$9000000000\times \frac{\frac{9}{3906250000000000000000000000}}{0.25}$$

Express \frac{\frac{9}{3906250000000000000000000000}}{0.25} as a single fraction.

$$9000000000\times \frac{9}{3906250000000000000000000000\times 0.25}$$

Multiply 3906250000000000000000000000 and 0.25 to get 976562500000000000000000000.

$$9000000000\times \frac{9}{976562500000000000000000000}$$

Multiply 9000000000 and \frac{9}{976562500000000000000000000} to get \frac{81}{976562500000000000}.

$$\frac{81}{976562500000000000}$$

Factor

$$\frac{3 ^ {4}}{2 ^ {11} \cdot 5 ^ {21}} = 8.2944 \times 10^{-17}$$