Solve 6.6*10^-34/5.14*10^-26*719*10^3

$$\frac { 6.6 \cdot 10 ^ { - 34 } } { 5.14 \cdot 10 ^ { - 26 } \cdot 719 \cdot 10 ^ { 3 } }$$

Evaluate

$$\frac{33}{1847830000000000}\approx 1.785878571 \cdot 10^{-14}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -26 and 3 to get -23.

$$\frac{6.6\times 10^{-34}}{5.14\times 10^{-23}\times 719}$$

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

$$\frac{6.6}{5.14\times 719\times 10^{11}}$$

Multiply 5.14 and 719 to get 3695.66.

$$\frac{6.6}{3695.66\times 10^{11}}$$

Calculate 10 to the power of 11 and get 100000000000.

$$\frac{6.6}{3695.66\times 100000000000}$$

Multiply 3695.66 and 100000000000 to get 369566000000000.

$$\frac{6.6}{369566000000000}$$

Expand \frac{6.6}{369566000000000} by multiplying both numerator and the denominator by 10.

$$\frac{66}{3695660000000000}$$

Reduce the fraction \frac{66}{3695660000000000} to lowest terms by extracting and canceling out 2.

$$\frac{33}{1847830000000000}$$

Factor

$$\frac{3 \cdot 11}{257 \cdot 719 \cdot 2 ^ {10} \cdot 5 ^ {10}} = 1.7858785710806728 \times 10^{-14}$$