Solve (6^2:3^2*5^2)^3

$$( 6 ^ { 2 } : 3 ^ { 2 } \cdot 5 ^ { 2 } ) ^ { 3 }$$

Evaluate

$$1000000$$

Solution Steps

Calculate 6 to the power of 2 and get 36.

$$\left(\frac{36}{3^{2}}\times 5^{2}\right)^{3}$$

Calculate 3 to the power of 2 and get 9.

$$\left(\frac{36}{9}\times 5^{2}\right)^{3}$$

Divide 36 by 9 to get 4.

$$\left(4\times 5^{2}\right)^{3}$$

Calculate 5 to the power of 2 and get 25.

$$\left(4\times 25\right)^{3}$$

Multiply 4 and 25 to get 100.

$$100^{3}$$

Calculate 100 to the power of 3 and get 1000000.

$$1000000$$

Factor

$$2^{6}\times 5^{6}$$