Solve 9*10^9*1.6*10^-19*1.6*10^-19/1*10^-9

$$\frac{ 9 \times { 10 }^{ 9 } \times 1.6 \times { 10 }^{ -19 } \times 1.6 \times { 10 }^{ -19 } }{ 1 \times { 10 }^{ -9 } }$$

Evaluate

$$0.0000000000000000002304$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 9 and -19 to get -10.

$$\frac{9\times 10^{-10}\times 1.6\times 1.6\times 10^{-19}}{1\times 10^{-9}}$$

To multiply powers of the same base, add their exponents. Add -10 and -19 to get -29.

$$\frac{9\times 10^{-29}\times 1.6\times 1.6}{1\times 10^{-9}}$$

To divide powers of the same base, subtract the numerator's exponent from the denominator's exponent.

$$\frac{1.6\times 1.6\times 9}{10^{20}}$$

Multiply 1.6 and 1.6 to get 2.56.

$$\frac{2.56\times 9}{10^{20}}$$

Multiply 2.56 and 9 to get 23.04.

$$\frac{23.04}{10^{20}}$$

Calculate 10 to the power of 20 and get 100000000000000000000.

$$\frac{23.04}{100000000000000000000}$$

Expand \frac{23.04}{100000000000000000000} by multiplying both numerator and the denominator by 100.

$$\frac{2304}{10000000000000000000000}$$

Reduce the fraction \frac{2304}{10000000000000000000000} to lowest terms by extracting and canceling out 256.

$$\frac{9}{39062500000000000000}$$

Factor

$$\frac{3 ^ {2}}{2 ^ {14} \cdot 5 ^ {22}} = 2.304 \times 10^{-19}$$