Solve {left(3*0.5*10^3/200right)}^0.82

$${ \left( \frac{ 3 \times 0.5 \times { 10 }^{ 3 } }{ 200 } \right) }^{ 0.82 }$$

Evaluate

$$\frac{2^{0.18}\times 15^{0.82}}{2}\approx 5.218554651$$

Solution Steps

Multiply 3 and 0.5 to get 1.5.

$$\left(\frac{1.5\times 10^{3}}{200}\right)^{0.82}$$

Calculate 10 to the power of 3 and get 1000.

$$\left(\frac{1.5\times 1000}{200}\right)^{0.82}$$

Multiply 1.5 and 1000 to get 1500.

$$\left(\frac{1500}{200}\right)^{0.82}$$

Reduce the fraction \frac{1500}{200} to lowest terms by extracting and canceling out 100.

$$\left(\frac{15}{2}\right)^{0.82}$$