Solve (6/5*10^3)^2*(1/2*10^4)

$$( \frac { 6 } { 5 } \times 10 ^ { 3 } ) ^ { 2 } \times ( \frac { 1 } { 2 } \times 10 ^ { 4 } )$$

Evaluate

$$7200000000$$

Solution Steps

Calculate 10 to the power of 3 and get 1000.

$$\left(\frac{6}{5}\times 1000\right)^{2}\times \frac{1}{2}\times 10^{4}$$

Multiply \frac{6}{5} and 1000 to get 1200.

$$1200^{2}\times \frac{1}{2}\times 10^{4}$$

Calculate 1200 to the power of 2 and get 1440000.

$$1440000\times \frac{1}{2}\times 10^{4}$$

Multiply 1440000 and \frac{1}{2} to get 720000.

$$720000\times 10^{4}$$

Calculate 10 to the power of 4 and get 10000.

$$720000\times 10000$$

Multiply 720000 and 10000 to get 7200000000.

$$7200000000$$

Factor

$$2^{11}\times 3^{2}\times 5^{8}$$