Solve [(0,3*2)^{2}+0,2^{2}]^3*[(2*5^2):(2^3*5^2)]=

$$[ ( 0,3 \times 2 ) ^ { 2 } + 0,2 ^ { 2 } ] ^ { 3 } \times [ ( 2 \cdot 5 ^ { 2 } ) : ( 2 ^ { 3 } \cdot 5 ^ { 2 } ) ] =$$

Evaluate

$$0,011664$$

Solution Steps

Multiply 0,3 and 2 to get 0,6.

$$\left(0,6^{2}+0\times 2^{2}\right)^{3}\times \frac{2\times 5^{2}}{2^{3}\times 5^{2}}$$

Calculate 0,6 to the power of 2 and get 0,36.

$$\left(0,36+0\times 2^{2}\right)^{3}\times \frac{2\times 5^{2}}{2^{3}\times 5^{2}}$$

Calculate 2 to the power of 2 and get 4.

$$\left(0,36+0\times 4\right)^{3}\times \frac{2\times 5^{2}}{2^{3}\times 5^{2}}$$

Multiply 0 and 4 to get 0.

$$\left(0,36+0\right)^{3}\times \frac{2\times 5^{2}}{2^{3}\times 5^{2}}$$

Add 0,36 and 0 to get 0,36.

$$0,36^{3}\times \frac{2\times 5^{2}}{2^{3}\times 5^{2}}$$

Calculate 0,36 to the power of 3 and get 0,046656.

$$0,046656\times \frac{2\times 5^{2}}{2^{3}\times 5^{2}}$$

Cancel out 2\times 5^{2} in both numerator and denominator.

$$0,046656\times \frac{1}{2^{2}}$$

Calculate 2 to the power of 2 and get 4.

$$0,046656\times \frac{1}{4}$$

Multiply 0,046656 and \frac{1}{4} to get \frac{729}{62500}.

$$\frac{729}{62500}$$

Factor

$$\frac{3 ^ {6}}{2 ^ {2} \cdot 5 ^ {6}} = 0.011664$$