Solve (1.38*10^2)*(5.4*10^-5)

$$( 1.38 \times 10 ^ { 2 } ) \times ( 5.4 \times 10 ^ { - 5 } )$$

Evaluate

$$0.007452$$

Solution Steps

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

$$1.38\times 10^{-3}\times 5.4$$

Calculate 10 to the power of -3 and get \frac{1}{1000}.

$$1.38\times \frac{1}{1000}\times 5.4$$

Multiply 1.38 and \frac{1}{1000} to get \frac{69}{50000}.

$$\frac{69}{50000}\times 5.4$$

Multiply \frac{69}{50000} and 5.4 to get \frac{1863}{250000}.

$$\frac{1863}{250000}$$

Factor

$$\frac{23 \cdot 3 ^ {4}}{2 ^ {4} \cdot 5 ^ {6}} = 0.007452$$