Solve 6.63*10^-34*6.2*10^14)-2.25*10^-19

$$6.63 \times { 10 }^{ -34 } \times 6.2 \times { 10 }^{ 14 } )-2.25 \times { 10 }^{ -19 }$$

Evaluate

$$0.00000000000000000041106$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -34 and 14 to get -20.

$$6.63\times 10^{-20}\times 6.2$$

Calculate 10 to the power of -20 and get \frac{1}{100000000000000000000}.

$$6.63\times \frac{1}{100000000000000000000}\times 6.2$$

Multiply 6.63 and \frac{1}{100000000000000000000} to get \frac{663}{10000000000000000000000}.

$$\frac{663}{10000000000000000000000}\times 6.2$$

Multiply \frac{663}{10000000000000000000000} and 6.2 to get \frac{20553}{50000000000000000000000}.

$$\frac{20553}{50000000000000000000000}$$

Factor

$$\frac{3 \cdot 13 \cdot 17 \cdot 31}{2 ^ {22} \cdot 5 ^ {23}} = 4.110600000000001 \times 10^{-19}$$