Solve 6.63*10^-34/2.7*10^7*9.1*10^-31

$$\frac { 6.63 \times 10 ^ { - 34 } } { 2.7 \times 10 ^ { 7 } \times 9.1 \times 10 ^ { - 31 } }$$

Evaluate

$$\frac{17}{630000000000}\approx 2.698412698 \cdot 10^{-11}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 7 and -31 to get -24.

$$\frac{6.63\times 10^{-34}}{2.7\times 10^{-24}\times 9.1}$$

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

$$\frac{6.63}{2.7\times 9.1\times 10^{10}}$$

Multiply 2.7 and 9.1 to get 24.57.

$$\frac{6.63}{24.57\times 10^{10}}$$

Calculate 10 to the power of 10 and get 10000000000.

$$\frac{6.63}{24.57\times 10000000000}$$

Multiply 24.57 and 10000000000 to get 245700000000.

$$\frac{6.63}{245700000000}$$

Expand \frac{6.63}{245700000000} by multiplying both numerator and the denominator by 100.

$$\frac{663}{24570000000000}$$

Reduce the fraction \frac{663}{24570000000000} to lowest terms by extracting and canceling out 39.

$$\frac{17}{630000000000}$$

Factor

$$\frac{17}{7 \cdot 2 ^ {10} \cdot 3 ^ {2} \cdot 5 ^ {10}} = 2.6984126984126986 \times 10^{-11}$$