Solve 5*(3^2*10)^4/3^2*60^2=

$$\frac { 5 \cdot ( 3 ^ { 2 } \cdot 10 ) ^ { 4 } } { 3 ^ { 2 } \cdot 60 ^ { 2 } } =$$

Evaluate

$$10125$$

Solution Steps

Calculate 3 to the power of 2 and get 9.

$$\frac{5\times \left(9\times 10\right)^{4}}{3^{2}\times 60^{2}}$$

Multiply 9 and 10 to get 90.

$$\frac{5\times 90^{4}}{3^{2}\times 60^{2}}$$

Calculate 90 to the power of 4 and get 65610000.

$$\frac{5\times 65610000}{3^{2}\times 60^{2}}$$

Multiply 5 and 65610000 to get 328050000.

$$\frac{328050000}{3^{2}\times 60^{2}}$$

Calculate 3 to the power of 2 and get 9.

$$\frac{328050000}{9\times 60^{2}}$$

Calculate 60 to the power of 2 and get 3600.

$$\frac{328050000}{9\times 3600}$$

Multiply 9 and 3600 to get 32400.

$$\frac{328050000}{32400}$$

Divide 328050000 by 32400 to get 10125.

$$10125$$

Factor

$$3^{4}\times 5^{3}$$