Solve 9*10^9*15*11*10^-6*10^-6/0.125*0.125

$$\frac { 9 \times 10 ^ { 9 } \times 15 \times 11 \times 10 ^ { - 6 } \times 10 ^ { - 6 } } { 0.125 \times 0.125 }$$

Evaluate

$$95.04$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 9 and -6 to get 3.

$$\frac{9\times 10^{3}\times 15\times 11\times 10^{-6}}{0.125\times 0.125}$$

To multiply powers of the same base, add their exponents. Add 3 and -6 to get -3.

$$\frac{9\times 10^{-3}\times 15\times 11}{0.125\times 0.125}$$

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

$$\frac{9\times \frac{1}{1000}\times 15\times 11}{0.125\times 0.125}$$

Multiply 9 and \frac{1}{1000} to get \frac{9}{1000}.

$$\frac{\frac{9}{1000}\times 15\times 11}{0.125\times 0.125}$$

Multiply \frac{9}{1000} and 15 to get \frac{27}{200}.

$$\frac{\frac{27}{200}\times 11}{0.125\times 0.125}$$

Multiply \frac{27}{200} and 11 to get \frac{297}{200}.

$$\frac{\frac{297}{200}}{0.125\times 0.125}$$

Multiply 0.125 and 0.125 to get 0.015625.

$$\frac{\frac{297}{200}}{0.015625}$$

Express \frac{\frac{297}{200}}{0.015625} as a single fraction.

$$\frac{297}{200\times 0.015625}$$

Multiply 200 and 0.015625 to get 3.125.

$$\frac{297}{3.125}$$

Expand \frac{297}{3.125} by multiplying both numerator and the denominator by 1000.

$$\frac{297000}{3125}$$

Reduce the fraction \frac{297000}{3125} to lowest terms by extracting and canceling out 125.

$$\frac{2376}{25}$$

Factor

$$\frac{11 \cdot 2 ^ {3} \cdot 3 ^ {3}}{5 ^ {2}} = 95\frac{1}{25} = 95.04$$