Solve 6.6*10^-34*3*10^8/400*10^-9

$$\frac{ 6.6 \times { 10 }^{ -34 } \times 3 \times { 10 }^{ 8 } }{ 400 \times { 10 }^{ -9 } }$$

Evaluate

$$0.000000000000000000495$$

Solution Steps

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

$$\frac{6.6\times 10^{-26}\times 3}{400\times 10^{-9}}$$

To divide powers of the same base, subtract the numerator's exponent from the denominator's exponent.

$$\frac{3\times 6.6}{400\times 10^{17}}$$

Multiply 3 and 6.6 to get 19.8.

$$\frac{19.8}{400\times 10^{17}}$$

Calculate 10 to the power of 17 and get 100000000000000000.

$$\frac{19.8}{400\times 100000000000000000}$$

Multiply 400 and 100000000000000000 to get 40000000000000000000.

$$\frac{19.8}{40000000000000000000}$$

Expand \frac{19.8}{40000000000000000000} by multiplying both numerator and the denominator by 10.

$$\frac{198}{400000000000000000000}$$

Reduce the fraction \frac{198}{400000000000000000000} to lowest terms by extracting and canceling out 2.

$$\frac{99}{200000000000000000000}$$

Factor

$$\frac{11 \cdot 3 ^ {2}}{2 ^ {21} \cdot 5 ^ {20}} = 4.95 \times 10^{-19}$$