Solve 10^-6*10^23*1.6*10^-19/4*7*10^-3

$$\frac{ { 10 }^{ -6 } \times { 10 }^{ 23 } \times 1.6 \times { 10 }^{ -19 } }{ 4 \times 7 \times { 10 }^{ -3 } }$$

Evaluate

$$\frac{4}{7}\approx 0.571428571$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -6 and 23 to get 17.

$$\frac{10^{17}\times 1.6\times 10^{-19}}{4\times 7\times 10^{-3}}$$

To multiply powers of the same base, add their exponents. Add 17 and -19 to get -2.

$$\frac{10^{-2}\times 1.6}{4\times 7\times 10^{-3}}$$

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

$$\frac{1.6\times 10^{1}}{4\times 7}$$

Calculate 10 to the power of 1 and get 10.

$$\frac{1.6\times 10}{4\times 7}$$

Multiply 1.6 and 10 to get 16.

$$\frac{16}{4\times 7}$$

Multiply 4 and 7 to get 28.

$$\frac{16}{28}$$

Reduce the fraction \frac{16}{28} to lowest terms by extracting and canceling out 4.

$$\frac{4}{7}$$

Factor

$$\frac{2 ^ {2}}{7} = 0.5714285714285714$$