Solve 663*10^-34*30*10^8

$$663 \times { 10 }^{ -34 } \times 30 \times { 10 }^{ 8 }$$

Evaluate

$$\frac{1989}{10000000000000000000000000}=1.989 \cdot 10^{-22}$$

Solution Steps

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

$$663\times 10^{-26}\times 30$$

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

$$663\times \frac{1}{100000000000000000000000000}\times 30$$

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

$$\frac{663}{100000000000000000000000000}\times 30$$

Multiply \frac{663}{100000000000000000000000000} and 30 to get \frac{1989}{10000000000000000000000000}.

$$\frac{1989}{10000000000000000000000000}$$

Factor

$$\frac{3 ^ {2} \cdot 13 \cdot 17}{2 ^ {25} \cdot 5 ^ {25}} = 1.9889999999999999 \times 10^{-22}$$