Solve 9*10^9*(10*10^-9)*(10*10^-9)/10*10^-2

$$\frac{ 9 \times { 10 }^{ 9 } \times (10 \times { 10 }^{ -9 } ) \times (10 \times { 10 }^{ -9 } ) }{ 10 \times { 10 }^{ -2 } }$$

Evaluate

$$\frac{9}{1000000}=0.000009$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 9 and 1 to get 10.

$$\frac{9\times 10^{10}\times 10^{-9}\times 10\times 10^{-9}}{10\times 10^{-2}}$$

To multiply powers of the same base, add their exponents. Add 10 and -9 to get 1.

$$\frac{9\times 10^{1}\times 10\times 10^{-9}}{10\times 10^{-2}}$$

To multiply powers of the same base, add their exponents. Add 1 and 1 to get 2.

$$\frac{9\times 10^{2}\times 10^{-9}}{10\times 10^{-2}}$$

To multiply powers of the same base, add their exponents. Add 2 and -9 to get -7.

$$\frac{9\times 10^{-7}}{10\times 10^{-2}}$$

To multiply powers of the same base, add their exponents. Add 1 and -2 to get -1.

$$\frac{9\times 10^{-7}}{10^{-1}}$$

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

$$\frac{9}{10^{6}}$$

Calculate 10 to the power of 6 and get 1000000.

$$\frac{9}{1000000}$$

Factor

$$\frac{3 ^ {2}}{2 ^ {6} \cdot 5 ^ {6}} = 9 \times 10^{-6}$$