Solve 4,14*10^-15*2,99*10^8

$$4,14 \cdot 10 ^ { - 15 } \cdot 2,99 \cdot 10 ^ { 8 }$$

Evaluate

$$0,00000123786$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -15 and 8 to get -7.

$$4,14\times 10^{-7}\times 2,99$$

Calculate 10 to the power of -7 and get \frac{1}{10000000}.

$$4,14\times \frac{1}{10000000}\times 2,99$$

Multiply 4,14 and \frac{1}{10000000} to get \frac{207}{500000000}.

$$\frac{207}{500000000}\times 2,99$$

Multiply \frac{207}{500000000} and 2,99 to get \frac{61893}{50000000000}.

$$\frac{61893}{50000000000}$$

Factor

$$\frac{13 \cdot 3 ^ {2} \cdot 23 ^ {2}}{2 ^ {10} \cdot 5 ^ {11}} = 1.23786 \times 10^{-6}$$