Solve 2150^-9*10*10^4

$$2150 ^ { - 9 } \cdot 10 \cdot 10 ^ { 4 }$$

Evaluate

$$\frac{1}{9816261951891464843750000}\approx 1.018717721 \cdot 10^{-25}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 1 and 4 to get 5.

$$2150^{-9}\times 10^{5}$$

Calculate 2150 to the power of -9 and get \frac{1}{981626195189146484375000000000}.

$$\frac{1}{981626195189146484375000000000}\times 10^{5}$$

Calculate 10 to the power of 5 and get 100000.

$$\frac{1}{981626195189146484375000000000}\times 100000$$

Multiply \frac{1}{981626195189146484375000000000} and 100000 to get \frac{1}{9816261951891464843750000}.

$$\frac{1}{9816261951891464843750000}$$

Factor

$$\frac{1}{2 ^ {4} \cdot 5 ^ {13} \cdot 43 ^ {9}} = 1.018717720554832 \times 10^{-25}$$