Solve 3/2*(10^5*39.8-10^6*10)=

$$\frac { 3 } { 2 } \times ( 10 ^ { 5 } \times 39.8 - 10 ^ { 6 } \times 10 ) =$$

Evaluate

$$-9030000$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 6 and 1 to get 7.

$$\frac{3}{2}\left(10^{5}\times 39.8-10^{7}\right)$$

Calculate 10 to the power of 5 and get 100000.

$$\frac{3}{2}\left(100000\times 39.8-10^{7}\right)$$

Multiply 100000 and 39.8 to get 3980000.

$$\frac{3}{2}\left(3980000-10^{7}\right)$$

Calculate 10 to the power of 7 and get 10000000.

$$\frac{3}{2}\left(3980000-10000000\right)$$

Subtract 10000000 from 3980000 to get -6020000.

$$\frac{3}{2}\left(-6020000\right)$$

Express \frac{3}{2}\left(-6020000\right) as a single fraction.

$$\frac{3\left(-6020000\right)}{2}$$

Multiply 3 and -6020000 to get -18060000.

$$\frac{-18060000}{2}$$

Divide -18060000 by 2 to get -9030000.

$$-9030000$$

Factor

$$-9030000$$