Solve 6.67*10^-1(70)(70)/23000^2

$$6.67 \times 10 ^ { - 1 } \frac { ( 70 ) ( 70 ) } { 23000 ^ { 2 } }$$

Evaluate

$$\frac{1421}{230000000}\approx 0.000006178$$

Solution Steps

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

$$6.67\times \frac{1}{10}\times \frac{70\times 70}{23000^{2}}$$

Multiply 6.67 and \frac{1}{10} to get \frac{667}{1000}.

$$\frac{667}{1000}\times \frac{70\times 70}{23000^{2}}$$

Multiply 70 and 70 to get 4900.

$$\frac{667}{1000}\times \frac{4900}{23000^{2}}$$

Calculate 23000 to the power of 2 and get 529000000.

$$\frac{667}{1000}\times \frac{4900}{529000000}$$

Reduce the fraction \frac{4900}{529000000} to lowest terms by extracting and canceling out 100.

$$\frac{667}{1000}\times \frac{49}{5290000}$$

Multiply \frac{667}{1000} and \frac{49}{5290000} to get \frac{1421}{230000000}.

$$\frac{1421}{230000000}$$

Factor

$$\frac{29 \cdot 7 ^ {2}}{23 \cdot 2 ^ {7} \cdot 5 ^ {7}} = 6.178260869565218 \times 10^{-6}$$