Solve =2*23/6.022*10^23*(420)^3

$$= \frac { 2 \times 23 } { 6.022 \times 10 ^ { 23 } \times ( 420 ) ^ { 3 } }$$

Evaluate

$$\frac{23}{22307896800000000000000000000000}\approx 1.031025031 \cdot 10^{-30}$$

Solution Steps

Multiply 2 and 23 to get 46.

$$\frac{46}{6.022\times 10^{23}\times 420^{3}}$$

Calculate 10 to the power of 23 and get 100000000000000000000000.

$$\frac{46}{6.022\times 100000000000000000000000\times 420^{3}}$$

Multiply 6.022 and 100000000000000000000000 to get 602200000000000000000000.

$$\frac{46}{602200000000000000000000\times 420^{3}}$$

Calculate 420 to the power of 3 and get 74088000.

$$\frac{46}{602200000000000000000000\times 74088000}$$

Multiply 602200000000000000000000 and 74088000 to get 44615793600000000000000000000000.

$$\frac{46}{44615793600000000000000000000000}$$

Reduce the fraction \frac{46}{44615793600000000000000000000000} to lowest terms by extracting and canceling out 2.

$$\frac{23}{22307896800000000000000000000000}$$

Factor

$$\frac{23}{3011 \cdot 2 ^ {26} \cdot 3 ^ {3} \cdot 5 ^ {23} \cdot 7 ^ {3}} = 1.031025031458815 \times 10^{-30}$$