Solve (5^2*18^3)^4div30^5

$$( 5 ^ { 2 } \times 18 ^ { 3 } ) ^ { 4 } \div 30 ^ { 5 }$$

Evaluate

$$18596183472000$$

Solution Steps

Calculate 5 to the power of 2 and get 25.

$$\frac{\left(25\times 18^{3}\right)^{4}}{30^{5}}$$

Calculate 18 to the power of 3 and get 5832.

$$\frac{\left(25\times 5832\right)^{4}}{30^{5}}$$

Multiply 25 and 5832 to get 145800.

$$\frac{145800^{4}}{30^{5}}$$

Calculate 145800 to the power of 4 and get 451887258369600000000.

$$\frac{451887258369600000000}{30^{5}}$$

Calculate 30 to the power of 5 and get 24300000.

$$\frac{451887258369600000000}{24300000}$$

Divide 451887258369600000000 by 24300000 to get 18596183472000.

$$18596183472000$$

Factor

$$2^{7}\times 3^{19}\times 5^{3}$$