Solve 4*4.421/19*4.421*19^2-19*4.421/8*4.421

$$\frac{ 4 \times 4.421 }{ 19 \times 4.421 } \times \frac{ { 19 }^{ 2 } -19 \times 4.421 }{ 8 \times 4.421 }$$

Evaluate

$$\frac{14579}{8842}\approx 1.648835105$$

Solution Steps

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

$$\frac{4}{19\times 4.421^{0}}\times \frac{19^{2}-19\times 4.421}{8\times 4.421}$$

Calculate 4.421 to the power of 0 and get 1.

$$\frac{4}{19\times 1}\times \frac{19^{2}-19\times 4.421}{8\times 4.421}$$

Multiply 19 and 1 to get 19.

$$\frac{4}{19}\times \frac{19^{2}-19\times 4.421}{8\times 4.421}$$

Calculate 19 to the power of 2 and get 361.

$$\frac{4}{19}\times \frac{361-19\times 4.421}{8\times 4.421}$$

Multiply 19 and 4.421 to get 83.999.

$$\frac{4}{19}\times \frac{361-83.999}{8\times 4.421}$$

Subtract 83.999 from 361 to get 277.001.

$$\frac{4}{19}\times \frac{277.001}{8\times 4.421}$$

Multiply 8 and 4.421 to get 35.368.

$$\frac{4}{19}\times \frac{277.001}{35.368}$$

Expand \frac{277.001}{35.368} by multiplying both numerator and the denominator by 1000.

$$\frac{4}{19}\times \frac{277001}{35368}$$

Multiply \frac{4}{19} times \frac{277001}{35368} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4\times 277001}{19\times 35368}$$

Do the multiplications in the fraction \frac{4\times 277001}{19\times 35368}.

$$\frac{1108004}{671992}$$

Reduce the fraction \frac{1108004}{671992} to lowest terms by extracting and canceling out 76.

$$\frac{14579}{8842}$$

Factor

$$\frac{61 \cdot 239}{2 \cdot 4421} = 1\frac{5737}{8842} = 1.6488351051798236$$