Solve 3div2*(10^2-0^2)

$$3 \div 2 \times ( { 10 }^{ 2 } - { 0 }^{ 2 } )$$

Evaluate

$$150$$

Solution Steps

Calculate 10 to the power of 2 and get 100.

$$\frac{3}{2}\left(100-0^{2}\right)$$

Calculate 0 to the power of 2 and get 0.

$$\frac{3}{2}\left(100-0\right)$$

Subtract 0 from 100 to get 100.

$$\frac{3}{2}\times 100$$

Express \frac{3}{2}\times 100 as a single fraction.

$$\frac{3\times 100}{2}$$

Multiply 3 and 100 to get 300.

$$\frac{300}{2}$$

Divide 300 by 2 to get 150.

$$150$$

Factor

$$2\times 3\times 5^{2}$$