Solve 1000*10*10^-4*15/1-1000*15*10^-4=

$$\frac { 1000 \cdot 10 \cdot 10 ^ { - 4 } \cdot 15 } { 1 - 1000 \cdot 15 \cdot 10 ^ { - 4 } } =$$

Evaluate

$$-30$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 1 and -4 to get -3.

$$\frac{1000\times 10^{-3}\times 15}{1-1000\times 15\times 10^{-4}}$$

Calculate 10 to the power of -3 and get \frac{1}{1000}.

$$\frac{1000\times \frac{1}{1000}\times 15}{1-1000\times 15\times 10^{-4}}$$

Multiply 1000 and \frac{1}{1000} to get 1.

$$\frac{15}{1-1000\times 15\times 10^{-4}}$$

Multiply 1000 and 15 to get 15000.

$$\frac{15}{1-15000\times 10^{-4}}$$

Calculate 10 to the power of -4 and get \frac{1}{10000}.

$$\frac{15}{1-15000\times \frac{1}{10000}}$$

Multiply 15000 and \frac{1}{10000} to get \frac{3}{2}.

$$\frac{15}{1-\frac{3}{2}}$$

Subtract \frac{3}{2} from 1 to get -\frac{1}{2}.

$$\frac{15}{-\frac{1}{2}}$$

Divide 15 by -\frac{1}{2} by multiplying 15 by the reciprocal of -\frac{1}{2}.

$$15\left(-2\right)$$

Multiply 15 and -2 to get -30.

$$-30$$

Factor

$$-30$$