Solve 6*626*10^-34/4*3.14*10^-2*10^-5

$$\frac { 6 \cdot 626 \times 10 ^ { - 34 } } { 4 \times 3.14 \times 10 ^ { - 2 } \times 10 ^ { - 5 } }$$

Evaluate

$$\frac{939}{3140000000000000000000000000}\approx 2.99044586 \cdot 10^{-25}$$

Solution Steps

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

$$\frac{6\times 626\times 10^{-34}}{4\times 3.14\times 10^{-7}}$$

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

$$\frac{3\times 313\times 10^{-34}}{3.14\times 10^{-7}}$$

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

$$\frac{3\times 313}{3.14\times 10^{27}}$$

Multiply 3 and 313 to get 939.

$$\frac{939}{3.14\times 10^{27}}$$

Calculate 10 to the power of 27 and get 1000000000000000000000000000.

$$\frac{939}{3.14\times 1000000000000000000000000000}$$

Multiply 3.14 and 1000000000000000000000000000 to get 3140000000000000000000000000.

$$\frac{939}{3140000000000000000000000000}$$

Factor

$$\frac{3 \cdot 313}{157 \cdot 2 ^ {26} \cdot 5 ^ {25}} = 2.9904458598726107 \times 10^{-25}$$