Solve 4.6^3+3.4^3/4.6^2-4.6*3.4+3.4^2

$$\frac { 4.6 ^ { 3 } + 3.4 ^ { 3 } } { 4.6 ^ { 2 } - 4.6 \cdot 3.4 + 3.4 ^ { 2 } }$$

Evaluate

$$8$$

Solution Steps

Calculate 4.6 to the power of 3 and get 97.336.

$$\frac{97.336+3.4^{3}}{4.6^{2}-4.6\times 3.4+3.4^{2}}$$

Calculate 3.4 to the power of 3 and get 39.304.

$$\frac{97.336+39.304}{4.6^{2}-4.6\times 3.4+3.4^{2}}$$

Add 97.336 and 39.304 to get 136.64.

$$\frac{136.64}{4.6^{2}-4.6\times 3.4+3.4^{2}}$$

Calculate 4.6 to the power of 2 and get 21.16.

$$\frac{136.64}{21.16-4.6\times 3.4+3.4^{2}}$$

Multiply 4.6 and 3.4 to get 15.64.

$$\frac{136.64}{21.16-15.64+3.4^{2}}$$

Subtract 15.64 from 21.16 to get 5.52.

$$\frac{136.64}{5.52+3.4^{2}}$$

Calculate 3.4 to the power of 2 and get 11.56.

$$\frac{136.64}{5.52+11.56}$$

Add 5.52 and 11.56 to get 17.08.

$$\frac{136.64}{17.08}$$

Expand \frac{136.64}{17.08} by multiplying both numerator and the denominator by 100.

$$\frac{13664}{1708}$$

Divide 13664 by 1708 to get 8.

$$8$$

Factor

$$2^{3}$$