Solve (15*10^3)^2*(-4/9*10^-6)

$$( 15 \times 10 ^ { 3 } ) ^ { 2 } \times ( - \frac { 4 } { 9 } \times 10 ^ { - 6 } )$$

Evaluate

$$-100$$

Solution Steps

Calculate 10 to the power of 3 and get 1000.

$$\left(15\times 1000\right)^{2}\left(-\frac{4}{9}\right)\times 10^{-6}$$

Multiply 15 and 1000 to get 15000.

$$15000^{2}\left(-\frac{4}{9}\right)\times 10^{-6}$$

Calculate 15000 to the power of 2 and get 225000000.

$$225000000\left(-\frac{4}{9}\right)\times 10^{-6}$$

Multiply 225000000 and -\frac{4}{9} to get -100000000.

$$-100000000\times 10^{-6}$$

Calculate 10 to the power of -6 and get \frac{1}{1000000}.

$$-100000000\times \frac{1}{1000000}$$

Multiply -100000000 and \frac{1}{1000000} to get -100.

$$-100$$

Factor

$$-100$$