Solve 10^2*3.14*0.3*3div3^2div3.14

$${ 10 }^{ 2 } \times 3.14 \times 0.3 \times 3 \div { 3 }^{ 2 } \div 3.14$$

Evaluate

$$10$$

Solution Steps

Express \frac{\frac{10^{2}\times 3.14\times 0.3\times 3}{3^{2}}}{3.14} as a single fraction.

$$\frac{10^{2}\times 3.14\times 0.3\times 3}{3^{2}\times 3.14}$$

Cancel out 3 in both numerator and denominator.

$$\frac{0.3\times 3.14\times 10^{2}}{3\times 3.14}$$

To divide powers of the same base, subtract the numerator's exponent from the denominator's exponent.

$$\frac{0.3\times 10^{2}}{3\times 3.14^{0}}$$

Calculate 10 to the power of 2 and get 100.

$$\frac{0.3\times 100}{3\times 3.14^{0}}$$

Multiply 0.3 and 100 to get 30.

$$\frac{30}{3\times 3.14^{0}}$$

Calculate 3.14 to the power of 0 and get 1.

$$\frac{30}{3\times 1}$$

Multiply 3 and 1 to get 3.

$$\frac{30}{3}$$

Divide 30 by 3 to get 10.

$$10$$

Factor

$$2\times 5$$