Solve (3,2*10^3)*(4,5*10^-5)

$$( 3,2 \cdot 10 ^ { 3 } ) \cdot ( 4,5 \cdot 10 ^ { - 5 } )$$

Evaluate

$$0,144$$

Solution Steps

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

$$3,2\times 10^{-2}\times 4,5$$

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

$$3,2\times \frac{1}{100}\times 4,5$$

Multiply 3,2 and \frac{1}{100} to get \frac{4}{125}.

$$\frac{4}{125}\times 4,5$$

Multiply \frac{4}{125} and 4,5 to get \frac{18}{125}.

$$\frac{18}{125}$$

Factor

$$\frac{2 \cdot 3 ^ {2}}{5 ^ {3}} = 0.144$$