Solve 6.62*10^-34*3*10^8div187.5

$$6.62 \times { 10 }^{ -34 } \times 3 \times { 10 }^{ 8 } \div 187.5$$

Evaluate

$$0.0000000000000000000000000010592$$

Solution Steps

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

$$\frac{6.62\times 10^{-26}\times 3}{187.5}$$

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

$$\frac{6.62\times \frac{1}{100000000000000000000000000}\times 3}{187.5}$$

Multiply 6.62 and \frac{1}{100000000000000000000000000} to get \frac{331}{5000000000000000000000000000}.

$$\frac{\frac{331}{5000000000000000000000000000}\times 3}{187.5}$$

Multiply \frac{331}{5000000000000000000000000000} and 3 to get \frac{993}{5000000000000000000000000000}.

$$\frac{\frac{993}{5000000000000000000000000000}}{187.5}$$

Express \frac{\frac{993}{5000000000000000000000000000}}{187.5} as a single fraction.

$$\frac{993}{5000000000000000000000000000\times 187.5}$$

Multiply 5000000000000000000000000000 and 187.5 to get 937500000000000000000000000000.

$$\frac{993}{937500000000000000000000000000}$$

Reduce the fraction \frac{993}{937500000000000000000000000000} to lowest terms by extracting and canceling out 3.

$$\frac{331}{312500000000000000000000000000}$$

Factor

$$\frac{331}{2 ^ {26} \cdot 5 ^ {31}} = 1.0592 \times 10^{-27}$$