Solve (0,3^{5}:0,3^{4}+0,2^{3}:0,2^{2})*2-0,1]^{2}+0,3^2+1,1^5*1,1^3:1,1^7

$$( 0,3 ^ { 5 } : 0,3 ^ { 4 } + 0,2 ^ { 3 } : 0,2 ^ { 2 } ) \cdot 2 - 0,1 ] ^ { 2 } + 0,3 ^ { 2 } + 1,1 ^ { 5 } \cdot 1,1 ^ { 3 } : 1,1 ^ { 7 }$$

Evaluate

$$0.9$$

Solution Steps

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 4 from 5 to get 1.

$$\left(0.3^{1}+\frac{0.2^{3}}{0.2^{2}}\right)\times 2-0.1$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 2 from 3 to get 1.

$$\left(0.3^{1}+0.2^{1}\right)\times 2-0.1$$

Calculate 0.3 to the power of 1 and get 0.3.

$$\left(0.3+0.2^{1}\right)\times 2-0.1$$

Calculate 0.2 to the power of 1 and get 0.2.

$$\left(0.3+0.2\right)\times 2-0.1$$

Add 0.3 and 0.2 to get 0.5.

$$0.5\times 2-0.1$$

Multiply 0.5 and 2 to get 1.

$$1-0.1$$

Subtract 0.1 from 1 to get 0.9.

$$0.9$$

Factor

$$\frac{3 ^ {2}}{2 \cdot 5} = 0.9$$