Solve 0.2*1.6*10^-19*10^7*1

$$0.2 \cdot 1.6 \times { 10 }^{ -19 } \times { 10 }^{ 7 } \times 1$$

Evaluate

$$0.00000000000032$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -19 and 7 to get -12.

$$0.2\times 1.6\times 10^{-12}\times 1$$

Multiply 0.2 and 1.6 to get 0.32.

$$0.32\times 10^{-12}\times 1$$

Calculate 10 to the power of -12 and get \frac{1}{1000000000000}.

$$0.32\times \frac{1}{1000000000000}\times 1$$

Multiply 0.32 and \frac{1}{1000000000000} to get \frac{1}{3125000000000}.

$$\frac{1}{3125000000000}\times 1$$

Multiply \frac{1}{3125000000000} and 1 to get \frac{1}{3125000000000}.

$$\frac{1}{3125000000000}$$

Factor

$$\frac{1}{2 ^ {9} \cdot 5 ^ {14}} = 3.1999999999999997 \times 10^{-13}$$