Solve (1.6*10^3)(5.1*10^-5)/40

$$\frac { ( 1.6 \times 10 ^ { 3 } ) ( 5.1 \times 10 ^ { - 5 } ) } { 40 }$$

Evaluate

$$0.00204$$

Solution Steps

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

$$\frac{1.6\times 10^{-2}\times 5.1}{40}$$

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

$$\frac{1.6\times \frac{1}{100}\times 5.1}{40}$$

Multiply 1.6 and \frac{1}{100} to get \frac{2}{125}.

$$\frac{\frac{2}{125}\times 5.1}{40}$$

Multiply \frac{2}{125} and 5.1 to get \frac{51}{625}.

$$\frac{\frac{51}{625}}{40}$$

Express \frac{\frac{51}{625}}{40} as a single fraction.

$$\frac{51}{625\times 40}$$

Multiply 625 and 40 to get 25000.

$$\frac{51}{25000}$$

Factor

$$\frac{3 \cdot 17}{2 ^ {3} \cdot 5 ^ {5}} = 0.00204$$