Solve (15^3+(-3^2)^2*25)^4

$$( 15 ^ { 3 } + ( - 3 ^ { 2 } ) ^ { 2 } \cdot 25 ) ^ { 4 }$$

Evaluate

$$850305600000000$$

Solution Steps

Calculate 15 to the power of 3 and get 3375.

$$\left(3375+\left(-3^{2}\right)^{2}\times 25\right)^{4}$$

Calculate 3 to the power of 2 and get 9.

$$\left(3375+\left(-9\right)^{2}\times 25\right)^{4}$$

Calculate -9 to the power of 2 and get 81.

$$\left(3375+81\times 25\right)^{4}$$

Multiply 81 and 25 to get 2025.

$$\left(3375+2025\right)^{4}$$

Add 3375 and 2025 to get 5400.

$$5400^{4}$$

Calculate 5400 to the power of 4 and get 850305600000000.

$$850305600000000$$

Factor

$$2^{12}\times 3^{12}\times 5^{8}$$