Solve 1.66*10^-24/9.1*90^-28

$$\frac { 1.66 \times 10 ^ { - 24 } } { 9.1 \times 90 ^ { - 28 } }$$

Evaluate

$$\frac{86875707082541849177442912486000}{91}\approx 9.546780998 \cdot 10^{29}$$

Solution Steps

Calculate 10 to the power of -24 and get \frac{1}{1000000000000000000000000}.

$$\frac{1.66\times \frac{1}{1000000000000000000000000}}{9.1\times 90^{-28}}$$

Multiply 1.66 and \frac{1}{1000000000000000000000000} to get \frac{83}{50000000000000000000000000}.

$$\frac{\frac{83}{50000000000000000000000000}}{9.1\times 90^{-28}}$$

Calculate 90 to the power of -28 and get \frac{1}{5233476330273605372135115210000000000000000000000000000}.

$$\frac{\frac{83}{50000000000000000000000000}}{9.1\times \frac{1}{5233476330273605372135115210000000000000000000000000000}}$$

Multiply 9.1 and \frac{1}{5233476330273605372135115210000000000000000000000000000} to get \frac{91}{52334763302736053721351152100000000000000000000000000000}.

$$\frac{\frac{83}{50000000000000000000000000}}{\frac{91}{52334763302736053721351152100000000000000000000000000000}}$$

Divide \frac{83}{50000000000000000000000000} by \frac{91}{52334763302736053721351152100000000000000000000000000000} by multiplying \frac{83}{50000000000000000000000000} by the reciprocal of \frac{91}{52334763302736053721351152100000000000000000000000000000}.

$$\frac{83}{50000000000000000000000000}\times \frac{52334763302736053721351152100000000000000000000000000000}{91}$$

Multiply \frac{83}{50000000000000000000000000} and \frac{52334763302736053721351152100000000000000000000000000000}{91} to get \frac{86875707082541849177442912486000}{91}.

$$\frac{86875707082541849177442912486000}{91}$$

Factor

$$\frac{83 \cdot 2 ^ {4} \cdot 3 ^ {56} \cdot 5 ^ {3}}{7 \cdot 13} = 9.546780998081523 \times 10^{29}\frac{60}{91} = 9.546780998081523 \times 10^{29}$$