Solve 1.7*10^-4*10/0.12*10^-6

$$\frac{ 1.7 \times { 10 }^{ -4 } \times 10 }{ 0.12 \times { 10 }^{ -6 } }$$

Evaluate

$$\frac{42500}{3}\approx 14166.666666667$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -4 and 1 to get -3.

$$\frac{1.7\times 10^{-3}}{0.12\times 10^{-6}}$$

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

$$\frac{1.7\times 10^{3}}{0.12}$$

Calculate 10 to the power of 3 and get 1000.

$$\frac{1.7\times 1000}{0.12}$$

Multiply 1.7 and 1000 to get 1700.

$$\frac{1700}{0.12}$$

Expand \frac{1700}{0.12} by multiplying both numerator and the denominator by 100.

$$\frac{170000}{12}$$

Reduce the fraction \frac{170000}{12} to lowest terms by extracting and canceling out 4.

$$\frac{42500}{3}$$

Factor

$$\frac{17 \cdot 2 ^ {2} \cdot 5 ^ {4}}{3} = 14166\frac{2}{3} = 14166.666666666666$$