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

$$\frac{26400}{4409}\approx 5,987752325$$

Solution Steps

Calculate 6 to the power of 3 and get 216.

$$\frac{4\times 216+3\times 4^{3}}{4\times 6^{2}-4,6\times 3,4+3\times 4^{2}}$$

Multiply 4 and 216 to get 864.

$$\frac{864+3\times 4^{3}}{4\times 6^{2}-4,6\times 3,4+3\times 4^{2}}$$

Calculate 4 to the power of 3 and get 64.

$$\frac{864+3\times 64}{4\times 6^{2}-4,6\times 3,4+3\times 4^{2}}$$

Multiply 3 and 64 to get 192.

$$\frac{864+192}{4\times 6^{2}-4,6\times 3,4+3\times 4^{2}}$$

Add 864 and 192 to get 1056.

$$\frac{1056}{4\times 6^{2}-4,6\times 3,4+3\times 4^{2}}$$

Calculate 6 to the power of 2 and get 36.

$$\frac{1056}{4\times 36-4,6\times 3,4+3\times 4^{2}}$$

Multiply 4 and 36 to get 144.

$$\frac{1056}{144-4,6\times 3,4+3\times 4^{2}}$$

Multiply 4,6 and 3,4 to get 15,64.

$$\frac{1056}{144-15,64+3\times 4^{2}}$$

Subtract 15,64 from 144 to get 128,36.

$$\frac{1056}{128,36+3\times 4^{2}}$$

Calculate 4 to the power of 2 and get 16.

$$\frac{1056}{128,36+3\times 16}$$

Multiply 3 and 16 to get 48.

$$\frac{1056}{128,36+48}$$

Add 128,36 and 48 to get 176,36.

$$\frac{1056}{176,36}$$

Expand \frac{1056}{176,36} by multiplying both numerator and the denominator by 100.

$$\frac{105600}{17636}$$

Reduce the fraction \frac{105600}{17636} to lowest terms by extracting and canceling out 4.

$$\frac{26400}{4409}$$

Factor

$$\frac{3 \cdot 11 \cdot 2 ^ {5} \cdot 5 ^ {2}}{4409} = 5\frac{4355}{4409} = 5.987752324790202$$