Solve 6*626*10^-34/4*314*10^-2*10^-5

$$\frac { 6 \cdot 626 \times 10 ^ { - 34 } } { 4 \times 314 \times 10 ^ { - 2 } \times 10 ^ { - 5 } }$$

Evaluate

$$\frac{939}{314000000000000000000000000000}\approx 2.99044586 \cdot 10^{-27}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -2 and -5 to get -7.

$$\frac{6\times 626\times 10^{-34}}{4\times 314\times 10^{-7}}$$

Cancel out 2\times 2 in both numerator and denominator.

$$\frac{3\times 313\times 10^{-34}}{314\times 10^{-7}}$$

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

$$\frac{3\times 313}{314\times 10^{27}}$$

Multiply 3 and 313 to get 939.

$$\frac{939}{314\times 10^{27}}$$

Calculate 10 to the power of 27 and get 1000000000000000000000000000.

$$\frac{939}{314\times 1000000000000000000000000000}$$

Multiply 314 and 1000000000000000000000000000 to get 314000000000000000000000000000.

$$\frac{939}{314000000000000000000000000000}$$

Factor

$$\frac{3 \cdot 313}{2 ^ {28} \cdot 5 ^ {27} \cdot 157} = 2.990445859872611 \times 10^{-27}$$