Solve 1.67*10^-27/9.1*10^-31

$$1.67 \times \frac{ { 10 }^{ -27 } }{ 9.1 \times { 10 }^{ -31 } }$$

Evaluate

$$\frac{167000}{91}\approx 1835.164835165$$

Solution Steps

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

$$1.67\times \frac{10^{4}}{9.1}$$

Calculate 10 to the power of 4 and get 10000.

$$1.67\times \frac{10000}{9.1}$$

Expand \frac{10000}{9.1} by multiplying both numerator and the denominator by 10.

$$1.67\times \frac{100000}{91}$$

Multiply 1.67 and \frac{100000}{91} to get \frac{167000}{91}.

$$\frac{167000}{91}$$

Factor

$$\frac{167 \cdot 2 ^ {3} \cdot 5 ^ {3}}{7 \cdot 13} = 1835\frac{15}{91} = 1835.1648351648353$$