Solve 165*3.8416*0.2688/165*0.0025*3.8416*0.2688

$$\frac{ 165 \times 3.8416 \times 0.2688 }{ 165 \times 0.0025 \times 3.8416 \times 0.2688 }$$

Evaluate

$$400$$

Solution Steps

Cancel out 165 in both numerator and denominator.

$$\frac{0.2688\times 3.8416}{0.0025\times 0.2688\times 3.8416}$$

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

$$\frac{1}{0.0025\times 0.2688^{0}\times 3.8416^{0}}$$

Calculate 0.2688 to the power of 0 and get 1.

$$\frac{1}{0.0025\times 1\times 3.8416^{0}}$$

Multiply 0.0025 and 1 to get 0.0025.

$$\frac{1}{0.0025\times 3.8416^{0}}$$

Calculate 3.8416 to the power of 0 and get 1.

$$\frac{1}{0.0025\times 1}$$

Multiply 0.0025 and 1 to get 0.0025.

$$\frac{1}{0.0025}$$

Expand \frac{1}{0.0025} by multiplying both numerator and the denominator by 10000.

$$\frac{10000}{25}$$

Divide 10000 by 25 to get 400.

$$400$$

Factor

$$2^{4}\times 5^{2}$$