Solve 0.37^2+0.81*100:9+3^3:3^2

$$0.37 ^ { 2 } + 0.81 \cdot 100 : 9 + 3 ^ { 3 } : 3 ^ { 2 }$$

Evaluate

$$12.1369$$

Solution Steps

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

$$0.37^{2}+\frac{0.81\times 100}{9}+3^{1}$$

Calculate 0.37 to the power of 2 and get 0.1369.

$$0.1369+\frac{0.81\times 100}{9}+3^{1}$$

Multiply 0.81 and 100 to get 81.

$$0.1369+\frac{81}{9}+3^{1}$$

Divide 81 by 9 to get 9.

$$0.1369+9+3^{1}$$

Add 0.1369 and 9 to get 9.1369.

$$9.1369+3^{1}$$

Calculate 3 to the power of 1 and get 3.

$$9.1369+3$$

Add 9.1369 and 3 to get 12.1369.

$$12.1369$$

Factor

$$\frac{121369}{2 ^ {4} \cdot 5 ^ {4}} = 12\frac{1369}{10000} = 12.1369$$