Solve pi/6left(2^5+4right)left(2^5-1right)

$$\frac{ \pi }{ 6 } \left( { 2 }^{ 5 } +4 \right) \left( { 2 }^{ 5 } -1 \right)$$

Evaluate

$$186\pi \approx 584.336233568$$

Solution Steps

Calculate 2 to the power of 5 and get 32.

$$\frac{\pi }{6}\left(32+4\right)\left(2^{5}-1\right)$$

Add 32 and 4 to get 36.

$$\frac{\pi }{6}\times 36\left(2^{5}-1\right)$$

Calculate 2 to the power of 5 and get 32.

$$\frac{\pi }{6}\times 36\left(32-1\right)$$

Subtract 1 from 32 to get 31.

$$\frac{\pi }{6}\times 36\times 31$$

Multiply 36 and 31 to get 1116.

$$\frac{\pi }{6}\times 1116$$

Cancel out 6, the greatest common factor in 1116 and 6.

$$186\pi$$

Expand

$$186\pi$$

Solution Steps

Calculate 2 to the power of 5 and get 32.

$$\frac{\pi }{6}\left(32+4\right)\left(2^{5}-1\right)$$

Add 32 and 4 to get 36.

$$\frac{\pi }{6}\times 36\left(2^{5}-1\right)$$

Calculate 2 to the power of 5 and get 32.

$$\frac{\pi }{6}\times 36\left(32-1\right)$$

Subtract 1 from 32 to get 31.

$$\frac{\pi }{6}\times 36\times 31$$

Multiply 36 and 31 to get 1116.

$$\frac{\pi }{6}\times 1116$$

Cancel out 6, the greatest common factor in 1116 and 6.

$$186\pi$$