Solve 6.6*10^-34*3*10^15

$$6.6 \times 10 ^ { - 34 } \times 3 \times 10 ^ { 15 }$$

Evaluate

$$0.00000000000000000198$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -34 and 15 to get -19.

$$6.6\times 10^{-19}\times 3$$

Calculate 10 to the power of -19 and get \frac{1}{10000000000000000000}.

$$6.6\times \frac{1}{10000000000000000000}\times 3$$

Multiply 6.6 and \frac{1}{10000000000000000000} to get \frac{33}{50000000000000000000}.

$$\frac{33}{50000000000000000000}\times 3$$

Multiply \frac{33}{50000000000000000000} and 3 to get \frac{99}{50000000000000000000}.

$$\frac{99}{50000000000000000000}$$

Factor

$$\frac{11 \cdot 3 ^ {2}}{2 ^ {19} \cdot 5 ^ {20}} = 1.9799999999999998 \times 10^{-18}$$