Solve 663*10^-34*3*10^8/515*16^-19

$$\frac{ 663 \times { 10 }^{ -34 } \times 3 \times { 10 }^{ 8 } }{ 515 \times { 16 }^{ -19 } }$$

Evaluate

$$\frac{2239414914709979136}{767409801483154296875}\approx 0.002918147$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -34 and 8 to get -26.

$$\frac{663\times 10^{-26}\times 3}{515\times 16^{-19}}$$

Calculate 10 to the power of -26 and get \frac{1}{100000000000000000000000000}.

$$\frac{663\times \frac{1}{100000000000000000000000000}\times 3}{515\times 16^{-19}}$$

Multiply 663 and \frac{1}{100000000000000000000000000} to get \frac{663}{100000000000000000000000000}.

$$\frac{\frac{663}{100000000000000000000000000}\times 3}{515\times 16^{-19}}$$

Multiply \frac{663}{100000000000000000000000000} and 3 to get \frac{1989}{100000000000000000000000000}.

$$\frac{\frac{1989}{100000000000000000000000000}}{515\times 16^{-19}}$$

Calculate 16 to the power of -19 and get \frac{1}{75557863725914323419136}.

$$\frac{\frac{1989}{100000000000000000000000000}}{515\times \frac{1}{75557863725914323419136}}$$

Multiply 515 and \frac{1}{75557863725914323419136} to get \frac{515}{75557863725914323419136}.

$$\frac{\frac{1989}{100000000000000000000000000}}{\frac{515}{75557863725914323419136}}$$

Divide \frac{1989}{100000000000000000000000000} by \frac{515}{75557863725914323419136} by multiplying \frac{1989}{100000000000000000000000000} by the reciprocal of \frac{515}{75557863725914323419136}.

$$\frac{1989}{100000000000000000000000000}\times \frac{75557863725914323419136}{515}$$

Multiply \frac{1989}{100000000000000000000000000} and \frac{75557863725914323419136}{515} to get \frac{2239414914709979136}{767409801483154296875}.

$$\frac{2239414914709979136}{767409801483154296875}$$

Factor

$$\frac{2 ^ {50} \cdot 3 ^ {2} \cdot 13 \cdot 17}{5 ^ {27} \cdot 103} = 0.0029181473971037586$$