Solve 6.6260695710^-34/9.1093929110^-316.310^6

$$\frac{ 6.62606957 { 10 }^{ -34 } }{ 9.10939291 { 10 }^{ -31 } 6.3 { 10 }^{ 6 } }$$

Evaluate

$$\frac{662606957}{5738917533300000000}\approx 1.154585256 \cdot 10^{-10}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -31 and 6 to get -25.

$$\frac{6.62606957\times 10^{-34}}{9.10939291\times 10^{-25}\times 6.3}$$

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

$$\frac{6.62606957}{6.3\times 9.10939291\times 10^{9}}$$

Multiply 6.3 and 9.10939291 to get 57.389175333.

$$\frac{6.62606957}{57.389175333\times 10^{9}}$$

Calculate 10 to the power of 9 and get 1000000000.

$$\frac{6.62606957}{57.389175333\times 1000000000}$$

Multiply 57.389175333 and 1000000000 to get 57389175333.

$$\frac{6.62606957}{57389175333}$$

Expand \frac{6.62606957}{57389175333} by multiplying both numerator and the denominator by 100000000.

$$\frac{662606957}{5738917533300000000}$$

Factor

$$\frac{3463 \cdot 191339}{7 \cdot 59 \cdot 61 \cdot 253109 \cdot 2 ^ {8} \cdot 3 ^ {2} \cdot 5 ^ {8}} = 1.1545852561135983 \times 10^{-10}$$