Solve 10^-6*10^23*16*10^-19/4*7*10^-3

$$\frac{ { 10 }^{ -6 } \times { 10 }^{ 23 } \times 16 \times { 10 }^{ -19 } }{ 4 \times 7 \times { 10 }^{ -3 } }$$

Evaluate

$$\frac{40}{7}\approx 5.714285714$$

Solution Steps

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

$$\frac{10^{17}\times 16\times 10^{-19}}{4\times 7\times 10^{-3}}$$

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

$$\frac{10^{-2}\times 16}{4\times 7\times 10^{-3}}$$

Cancel out 4 in both numerator and denominator.

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

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

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

Calculate 10 to the power of 1 and get 10.

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

Multiply 4 and 10 to get 40.

$$\frac{40}{7}$$

Factor

$$\frac{2 ^ {3} \cdot 5}{7} = 5\frac{5}{7} = 5.714285714285714$$