Solve 4^3*15*40/6*8*16*10^2

$$\frac { 4 ^ { 3 } \cdot 15 \cdot 40 } { 6 \cdot 8 \cdot 16 \cdot 10 ^ { 2 } }$$

Evaluate

$$\frac{1}{2}=0.5$$

Solution Steps

Cancel out 2\times 3\times 4 in both numerator and denominator.

$$\frac{5\times 5\times 4^{3}}{2\times 16\times 10^{2}}$$

Multiply 5 and 5 to get 25.

$$\frac{25\times 4^{3}}{2\times 16\times 10^{2}}$$

Calculate 4 to the power of 3 and get 64.

$$\frac{25\times 64}{2\times 16\times 10^{2}}$$

Multiply 25 and 64 to get 1600.

$$\frac{1600}{2\times 16\times 10^{2}}$$

Multiply 2 and 16 to get 32.

$$\frac{1600}{32\times 10^{2}}$$

Calculate 10 to the power of 2 and get 100.

$$\frac{1600}{32\times 100}$$

Multiply 32 and 100 to get 3200.

$$\frac{1600}{3200}$$

Reduce the fraction \frac{1600}{3200} to lowest terms by extracting and canceling out 1600.

$$\frac{1}{2}$$

Factor

$$\frac{1}{2} = 0.5$$