Solve 198.6*10^-4*5*10^-5/2.5*10^-4

$$\frac{ 198.6 \times { 10 }^{ -4 } \times 5 \times { 10 }^{ -5 } }{ 2.5 \times { 10 }^{ -4 } }$$

Evaluate

$$0.003972$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -4 and -5 to get -9.

$$\frac{198.6\times 10^{-9}\times 5}{2.5\times 10^{-4}}$$

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

$$\frac{5\times 198.6}{2.5\times 10^{5}}$$

Multiply 5 and 198.6 to get 993.

$$\frac{993}{2.5\times 10^{5}}$$

Calculate 10 to the power of 5 and get 100000.

$$\frac{993}{2.5\times 100000}$$

Multiply 2.5 and 100000 to get 250000.

$$\frac{993}{250000}$$

Factor

$$\frac{3 \cdot 331}{2 ^ {4} \cdot 5 ^ {6}} = 0.003972$$