Solve (4*10^-5)(6*10^-3)/(3*10^-10)(8*10^8)

$$\frac { ( 4 \times 10 ^ { - 5 } ) ( 6 \times 10 ^ { - 3 } ) } { ( 3 \times 10 ^ { - 10 } ) ( 8 \times 10 ^ { 8 } ) }$$

Evaluate

$$\frac{1}{1000000}=0.000001$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -5 and -3 to get -8.

$$\frac{4\times 10^{-8}\times 6}{3\times 10^{-10}\times 8\times 10^{8}}$$

To multiply powers of the same base, add their exponents. Add -10 and 8 to get -2.

$$\frac{4\times 10^{-8}\times 6}{3\times 10^{-2}\times 8}$$

Cancel out 2\times 3\times 4 in both numerator and denominator.

$$\frac{10^{-8}}{10^{-2}}$$

To divide powers of the same base, subtract the numerator's exponent from the denominator's exponent.

$$\frac{1}{10^{6}}$$

Calculate 10 to the power of 6 and get 1000000.

$$\frac{1}{1000000}$$

Factor

$$\frac{1}{2 ^ {6} \cdot 5 ^ {6}} = 1 \times 10^{-6}$$