Solve 6.6310^-343*10^8

$$6.63 { 10 }^{ -34 } 3 \times { 10 }^{ 8 }$$

Evaluate

$$0.0000000000000000000000001989$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -34 and 8 to get -26.

$$6.63\times 10^{-26}\times 3$$

Calculate 10 to the power of -26 and get \frac{1}{100000000000000000000000000}.

$$6.63\times \frac{1}{100000000000000000000000000}\times 3$$

Multiply 6.63 and \frac{1}{100000000000000000000000000} to get \frac{663}{10000000000000000000000000000}.

$$\frac{663}{10000000000000000000000000000}\times 3$$

Multiply \frac{663}{10000000000000000000000000000} and 3 to get \frac{1989}{10000000000000000000000000000}.

$$\frac{1989}{10000000000000000000000000000}$$

Factor

$$\frac{13 \cdot 17 \cdot 3 ^ {2}}{2 ^ {28} \cdot 5 ^ {28}} = 1.989 \times 10^{-25}$$