Solve 9*10^910^-5*(-10^-5)/5*10^-1

$$9 \cdot 10 ^ { 9 } \frac { 10 ^ { - 5 } \cdot ( - 10 ^ { - 5 } ) } { 5 \cdot 10 ^ { - 1 } }$$

Evaluate

$$-\frac{9}{5}=-1.8$$

Solution Steps

Calculate 10 to the power of 9 and get 1000000000.

$$9\times 1000000000\times \frac{10^{-5}\left(-10^{-5}\right)}{5\times 10^{-1}}$$

Multiply 9 and 1000000000 to get 9000000000.

$$9000000000\times \frac{10^{-5}\left(-10^{-5}\right)}{5\times 10^{-1}}$$

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

$$9000000000\times \frac{-10^{-5}}{5\times 10^{4}}$$

Calculate 10 to the power of -5 and get \frac{1}{100000}.

$$9000000000\times \frac{-\frac{1}{100000}}{5\times 10^{4}}$$

Calculate 10 to the power of 4 and get 10000.

$$9000000000\times \frac{-\frac{1}{100000}}{5\times 10000}$$

Multiply 5 and 10000 to get 50000.

$$9000000000\times \frac{-\frac{1}{100000}}{50000}$$

Express \frac{-\frac{1}{100000}}{50000} as a single fraction.

$$9000000000\times \frac{-1}{100000\times 50000}$$

Multiply 100000 and 50000 to get 5000000000.

$$9000000000\times \frac{-1}{5000000000}$$

Fraction \frac{-1}{5000000000} can be rewritten as -\frac{1}{5000000000} by extracting the negative sign.

$$9000000000\left(-\frac{1}{5000000000}\right)$$

Multiply 9000000000 and -\frac{1}{5000000000} to get -\frac{9}{5}.

$$-\frac{9}{5}$$

Factor

$$-\frac{9}{5} = -1\frac{4}{5} = -1.8$$