Solve 4*10^-5*4*10^-5/0.79^2*9*10^9/2.2=

$$\frac { 4 \cdot 10 ^ { - 5 } \cdot 4 \cdot 10 ^ { - 5 } } { 0.79 ^ { 2 } } \cdot \frac { 9 \cdot 10 ^ { 9 } } { 2.2 } =$$

Evaluate

$$\frac{720000}{68651}\approx 10.487829748$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -5 and -5 to get -10.

$$\frac{4\times 10^{-10}\times 4}{0.79^{2}}\times \frac{9\times 10^{9}}{2.2}$$

Calculate 10 to the power of -10 and get \frac{1}{10000000000}.

$$\frac{4\times \frac{1}{10000000000}\times 4}{0.79^{2}}\times \frac{9\times 10^{9}}{2.2}$$

Multiply 4 and \frac{1}{10000000000} to get \frac{1}{2500000000}.

$$\frac{\frac{1}{2500000000}\times 4}{0.79^{2}}\times \frac{9\times 10^{9}}{2.2}$$

Multiply \frac{1}{2500000000} and 4 to get \frac{1}{625000000}.

$$\frac{\frac{1}{625000000}}{0.79^{2}}\times \frac{9\times 10^{9}}{2.2}$$

Calculate 0.79 to the power of 2 and get 0.6241.

$$\frac{\frac{1}{625000000}}{0.6241}\times \frac{9\times 10^{9}}{2.2}$$

Express \frac{\frac{1}{625000000}}{0.6241} as a single fraction.

$$\frac{1}{625000000\times 0.6241}\times \frac{9\times 10^{9}}{2.2}$$

Multiply 625000000 and 0.6241 to get 390062500.

$$\frac{1}{390062500}\times \frac{9\times 10^{9}}{2.2}$$

Calculate 10 to the power of 9 and get 1000000000.

$$\frac{1}{390062500}\times \frac{9\times 1000000000}{2.2}$$

Multiply 9 and 1000000000 to get 9000000000.

$$\frac{1}{390062500}\times \frac{9000000000}{2.2}$$

Expand \frac{9000000000}{2.2} by multiplying both numerator and the denominator by 10.

$$\frac{1}{390062500}\times \frac{90000000000}{22}$$

Reduce the fraction \frac{90000000000}{22} to lowest terms by extracting and canceling out 2.

$$\frac{1}{390062500}\times \frac{45000000000}{11}$$

Multiply \frac{1}{390062500} and \frac{45000000000}{11} to get \frac{720000}{68651}.

$$\frac{720000}{68651}$$

Factor

$$\frac{2 ^ {7} \cdot 3 ^ {2} \cdot 5 ^ {4}}{11 \cdot 79 ^ {2}} = 10\frac{33490}{68651} = 10.487829747563765$$