Solve -3^58^32^5/3^2{4^4}

$$\frac{ { -3 }^{ 5 } { 8 }^{ 3 } { 2 }^{ 5 } }{ { 3 }^{ 2 } { 4 }^{ 4 } }$$

Evaluate

$$-1728$$

Solution Steps

Calculate -3 to the power of 5 and get -243.

$$\frac{-243\times 8^{3}\times 2^{5}}{3^{2}\times 4^{4}}$$

Calculate 8 to the power of 3 and get 512.

$$\frac{-243\times 512\times 2^{5}}{3^{2}\times 4^{4}}$$

Multiply -243 and 512 to get -124416.

$$\frac{-124416\times 2^{5}}{3^{2}\times 4^{4}}$$

Calculate 2 to the power of 5 and get 32.

$$\frac{-124416\times 32}{3^{2}\times 4^{4}}$$

Multiply -124416 and 32 to get -3981312.

$$\frac{-3981312}{3^{2}\times 4^{4}}$$

Calculate 3 to the power of 2 and get 9.

$$\frac{-3981312}{9\times 4^{4}}$$

Calculate 4 to the power of 4 and get 256.

$$\frac{-3981312}{9\times 256}$$

Multiply 9 and 256 to get 2304.

$$\frac{-3981312}{2304}$$

Divide -3981312 by 2304 to get -1728.

$$-1728$$

Factor

$$-1728$$