Solve (5.2*10^-2)*(8.0*10^-4)=?

$$( 5.2 \times 10 ^ { - 2 } ) \times ( 8.0 \times 10 ^ { - 4 } ) = ?$$

Evaluate

$$0.0000416$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -2 and -4 to get -6.

$$5.2\times 10^{-6}\times 8$$

Calculate 10 to the power of -6 and get \frac{1}{1000000}.

$$5.2\times \frac{1}{1000000}\times 8$$

Multiply 5.2 and \frac{1}{1000000} to get \frac{13}{2500000}.

$$\frac{13}{2500000}\times 8$$

Multiply \frac{13}{2500000} and 8 to get \frac{13}{312500}.

$$\frac{13}{312500}$$

Factor

$$\frac{13}{2 ^ {2} \cdot 5 ^ {7}} = 4.16 \times 10^{-5}$$