Solve {l}{3.58*10^3}{*1.90*10^-5}

$$\left. \begin{array} { l } { 3.58 \times 10 ^ { 3 } } \\ { \times 1.90 \times 10 ^ { - 5 } } \end{array} \right.$$

Evaluate

$$0.06802$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 3 and -5 to get -2.

$$3.58\times 10^{-2}\times 1.9$$

Calculate 10 to the power of -2 and get \frac{1}{100}.

$$3.58\times \frac{1}{100}\times 1.9$$

Multiply 3.58 and \frac{1}{100} to get \frac{179}{5000}.

$$\frac{179}{5000}\times 1.9$$

Multiply \frac{179}{5000} and 1.9 to get \frac{3401}{50000}.

$$\frac{3401}{50000}$$

Factor

$$\frac{19 \cdot 179}{2 ^ {4} \cdot 5 ^ {5}} = 0.06802$$