Solve [3^4*8^5*(-10)^2]^3

$$[ 3 ^ { 4 } \times 8 ^ { 5 } \times ( - 10 ) ^ { 2 } ] ^ { 3 }$$

Evaluate

$$18698417887260966912000000$$

Solution Steps

Calculate 3 to the power of 4 and get 81.

$$\left(81\times 8^{5}\left(-10\right)^{2}\right)^{3}$$

Calculate 8 to the power of 5 and get 32768.

$$\left(81\times 32768\left(-10\right)^{2}\right)^{3}$$

Multiply 81 and 32768 to get 2654208.

$$\left(2654208\left(-10\right)^{2}\right)^{3}$$

Calculate -10 to the power of 2 and get 100.

$$\left(2654208\times 100\right)^{3}$$

Multiply 2654208 and 100 to get 265420800.

$$265420800^{3}$$

Calculate 265420800 to the power of 3 and get 18698417887260966912000000.

$$18698417887260966912000000$$

Factor

$$2^{51}\times 3^{12}\times 5^{6}$$