Solve (85*10^-8/5*10^8)*(64*10^10/8*10^-4)

$$( \frac { 85 \times 10 ^ { - 8 } } { 5 \times 10 ^ { 8 } } ) \cdot ( \frac { 64 \times 10 ^ { 10 } } { 8 \times 10 ^ { - 4 } } )$$

Evaluate

$$\frac{34}{25}=1.36$$

Solution Steps

Cancel out 5 in both numerator and denominator.

$$\frac{17\times 10^{-8}}{10^{8}}\times \frac{64\times 10^{10}}{8\times 10^{-4}}$$

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

$$\frac{17}{10^{16}}\times \frac{64\times 10^{10}}{8\times 10^{-4}}$$

Calculate 10 to the power of 16 and get 10000000000000000.

$$\frac{17}{10000000000000000}\times \frac{64\times 10^{10}}{8\times 10^{-4}}$$

Cancel out 8 in both numerator and denominator.

$$\frac{17}{10000000000000000}\times \frac{8\times 10^{10}}{10^{-4}}$$

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

$$\frac{17}{10000000000000000}\times 8\times 10^{14}$$

Multiply \frac{17}{10000000000000000} and 8 to get \frac{17}{1250000000000000}.

$$\frac{17}{1250000000000000}\times 10^{14}$$

Calculate 10 to the power of 14 and get 100000000000000.

$$\frac{17}{1250000000000000}\times 100000000000000$$

Multiply \frac{17}{1250000000000000} and 100000000000000 to get \frac{34}{25}.

$$\frac{34}{25}$$

Factor

$$\frac{2 \cdot 17}{5 ^ {2}} = 1\frac{9}{25} = 1.36$$