Solve (2.4*10^-3)(3.6*10^-7)/(4.8*10^6)(1*10^-9)

$$\frac { ( 2.4 \times 10 ^ { - 3 } ) ( 3.6 \times 10 ^ { - 7 } ) } { ( 4.8 \times 10 ^ { 6 } ) ( 1 \times 10 ^ { - 9 } ) }$$

Evaluate

$$0.00000018$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -3 and -7 to get -10.

$$\frac{2.4\times 10^{-10}\times 3.6}{4.8\times 10^{6}\times 1\times 10^{-9}}$$

To multiply powers of the same base, add their exponents. Add 6 and -9 to get -3.

$$\frac{2.4\times 10^{-10}\times 3.6}{4.8\times 10^{-3}\times 1}$$

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

$$\frac{2.4\times 3.6}{4.8\times 10^{7}}$$

Multiply 2.4 and 3.6 to get 8.64.

$$\frac{8.64}{4.8\times 10^{7}}$$

Calculate 10 to the power of 7 and get 10000000.

$$\frac{8.64}{4.8\times 10000000}$$

Multiply 4.8 and 10000000 to get 48000000.

$$\frac{8.64}{48000000}$$

Expand \frac{8.64}{48000000} by multiplying both numerator and the denominator by 100.

$$\frac{864}{4800000000}$$

Reduce the fraction \frac{864}{4800000000} to lowest terms by extracting and canceling out 96.

$$\frac{9}{50000000}$$

Factor

$$\frac{3 ^ {2}}{2 ^ {7} \cdot 5 ^ {8}} = 1.8 \times 10^{-7}$$