Solve (1.38*10^8)*(5.4*10^-12)

$$(1.38 \times { 10 }^{ 8 } ) \times (5.4 \times { 10 }^{ -12 } )$$

Evaluate

$$0.0007452$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 8 and -12 to get -4.

$$1.38\times 10^{-4}\times 5.4$$

Calculate 10 to the power of -4 and get \frac{1}{10000}.

$$1.38\times \frac{1}{10000}\times 5.4$$

Multiply 1.38 and \frac{1}{10000} to get \frac{69}{500000}.

$$\frac{69}{500000}\times 5.4$$

Multiply \frac{69}{500000} and 5.4 to get \frac{1863}{2500000}.

$$\frac{1863}{2500000}$$

Factor

$$\frac{23 \cdot 3 ^ {4}}{2 ^ {5} \cdot 5 ^ {7}} = 0.0007452$$