Solve left(0.7^2-0.2^3*02^3div2right)5-left(3*2+1*9-0*1right)^20{2}^2{3}^2

$$\left( { 0.7 }^{ 2 } -0. { 2 }^{ 3 } \times 0 { 2 }^{ 3 } \div 2 \right) 5- { \left(3 \cdot 2+1 \cdot 9-0 \cdot 1 \right) }^{ 2 } 0 { 2 }^{ 2 } { 3 }^{ 2 }$$

Evaluate

$$2.45$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 3 and 3 to get 6.

$$\left(0.7^{2}-\frac{0\times 2^{6}\times 0}{2}\right)\times 5-\left(3\times 2+1\times 9-0\times 1\right)^{2}\times 0\times 2^{2}\times 3^{2}$$

Calculate 0.7 to the power of 2 and get 0.49.

$$\left(0.49-\frac{0\times 2^{6}\times 0}{2}\right)\times 5-\left(3\times 2+1\times 9-0\times 1\right)^{2}\times 0\times 2^{2}\times 3^{2}$$

Calculate 2 to the power of 6 and get 64.

$$\left(0.49-\frac{0\times 64\times 0}{2}\right)\times 5-\left(3\times 2+1\times 9-0\times 1\right)^{2}\times 0\times 2^{2}\times 3^{2}$$

Multiply 0 and 64 to get 0.

$$\left(0.49-\frac{0\times 0}{2}\right)\times 5-\left(3\times 2+1\times 9-0\times 1\right)^{2}\times 0\times 2^{2}\times 3^{2}$$

Multiply 0 and 0 to get 0.

$$\left(0.49-\frac{0}{2}\right)\times 5-\left(3\times 2+1\times 9-0\times 1\right)^{2}\times 0\times 2^{2}\times 3^{2}$$

Zero divided by any non-zero number gives zero.

$$\left(0.49+0\right)\times 5-\left(3\times 2+1\times 9-0\times 1\right)^{2}\times 0\times 2^{2}\times 3^{2}$$

Add 0.49 and 0 to get 0.49.

$$0.49\times 5-\left(3\times 2+1\times 9-0\times 1\right)^{2}\times 0\times 2^{2}\times 3^{2}$$

Multiply 0.49 and 5 to get 2.45.

$$2.45-\left(3\times 2+1\times 9-0\times 1\right)^{2}\times 0\times 2^{2}\times 3^{2}$$

Do the multiplications.

$$2.45-\left(6+9-0\times 1\right)^{2}\times 0\times 2^{2}\times 3^{2}$$

Add 6 and 9 to get 15.

$$2.45-\left(15-0\times 1\right)^{2}\times 0\times 2^{2}\times 3^{2}$$

Multiply 0 and 1 to get 0.

$$2.45-\left(15-0\right)^{2}\times 0\times 2^{2}\times 3^{2}$$

Subtract 0 from 15 to get 15.

$$2.45-15^{2}\times 0\times 2^{2}\times 3^{2}$$

Calculate 15 to the power of 2 and get 225.

$$2.45-225\times 0\times 2^{2}\times 3^{2}$$

Multiply 225 and 0 to get 0.

$$2.45-0\times 2^{2}\times 3^{2}$$

Calculate 2 to the power of 2 and get 4.

$$2.45-0\times 4\times 3^{2}$$

Multiply 0 and 4 to get 0.

$$2.45-0\times 3^{2}$$

Calculate 3 to the power of 2 and get 9.

$$2.45-0\times 9$$

Multiply 0 and 9 to get 0.

$$2.45-0$$

Subtract 0 from 2.45 to get 2.45.

$$2.45$$

Factor

$$\frac{7 ^ {2}}{5 \cdot 2 ^ {2}} = 2\frac{9}{20} = 2.45$$