Solve 4^7/7*6*5*4*6

$$\frac{ { 4 }^{ 7 } }{ 7 \times 6 \times 5 \times 4 \times 6 }$$

Evaluate

$$\frac{1024}{315}\approx 3.250793651$$

Solution Steps

Cancel out 4 in both numerator and denominator.

$$\frac{4^{6}}{5\times 6\times 6\times 7}$$

Calculate 4 to the power of 6 and get 4096.

$$\frac{4096}{5\times 6\times 6\times 7}$$

Multiply 5 and 6 to get 30.

$$\frac{4096}{30\times 6\times 7}$$

Multiply 30 and 6 to get 180.

$$\frac{4096}{180\times 7}$$

Multiply 180 and 7 to get 1260.

$$\frac{4096}{1260}$$

Reduce the fraction \frac{4096}{1260} to lowest terms by extracting and canceling out 4.

$$\frac{1024}{315}$$

Factor

$$\frac{2 ^ {10}}{3 ^ {2} \cdot 5 \cdot 7} = 3\frac{79}{315} = 3.250793650793651$$