Solve 9*19^9*(4.8*10^-14)/(0.5)^2

$$9 \times 19 ^ { 9 } \times \frac { ( 4.8 \times 10 ^ { - 14 } ) } { ( 0.5 ) ^ { 2 } }$$

Evaluate

$$0.557604341762112$$

Solution Steps

Calculate 19 to the power of 9 and get 322687697779.

$$9\times 322687697779\times \frac{4.8\times 10^{-14}}{0.5^{2}}$$

Multiply 9 and 322687697779 to get 2904189280011.

$$2904189280011\times \frac{4.8\times 10^{-14}}{0.5^{2}}$$

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

$$2904189280011\times \frac{4.8\times \frac{1}{100000000000000}}{0.5^{2}}$$

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

$$2904189280011\times \frac{\frac{3}{62500000000000}}{0.5^{2}}$$

Calculate 0.5 to the power of 2 and get 0.25.

$$2904189280011\times \frac{\frac{3}{62500000000000}}{0.25}$$

Express \frac{\frac{3}{62500000000000}}{0.25} as a single fraction.

$$2904189280011\times \frac{3}{62500000000000\times 0.25}$$

Multiply 62500000000000 and 0.25 to get 15625000000000.

$$2904189280011\times \frac{3}{15625000000000}$$

Multiply 2904189280011 and \frac{3}{15625000000000} to get \frac{8712567840033}{15625000000000}.

$$\frac{8712567840033}{15625000000000}$$

Factor

$$\frac{3 ^ {3} \cdot 19 ^ {9}}{2 ^ {9} \cdot 5 ^ {15}} = 0.557604341762112$$