Solve 704*10^-9*10*10^-6/3

$$\frac { 704 \cdot 10 ^ { - 9 } \cdot 10 \cdot 10 ^ { - 6 } } { 3 }$$

Evaluate

$$\frac{11}{4687500000000}\approx 2.346666667 \cdot 10^{-12}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -9 and 1 to get -8.

$$\frac{704\times 10^{-8}\times 10^{-6}}{3}$$

To multiply powers of the same base, add their exponents. Add -8 and -6 to get -14.

$$\frac{704\times 10^{-14}}{3}$$

Calculate 10 to the power of -14 and get \frac{1}{100000000000000}.

$$\frac{704\times \frac{1}{100000000000000}}{3}$$

Multiply 704 and \frac{1}{100000000000000} to get \frac{11}{1562500000000}.

$$\frac{\frac{11}{1562500000000}}{3}$$

Express \frac{\frac{11}{1562500000000}}{3} as a single fraction.

$$\frac{11}{1562500000000\times 3}$$

Multiply 1562500000000 and 3 to get 4687500000000.

$$\frac{11}{4687500000000}$$

Factor

$$\frac{11}{2 ^ {8} \cdot 3 \cdot 5 ^ {14}} = 2.3466666666666667 \times 10^{-12}$$