Solve (10*10^-3)*(3*10^-9)/24*10^-5

$$\frac { ( 10 \times 10 ^ { - 3 } ) \times ( 3 \times 10 ^ { - 9 } ) } { 24 \times 10 ^ { - 5 } }$$

Evaluate

$$\frac{1}{8000000}=0.000000125$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 1 and -3 to get -2.

$$\frac{10^{-2}\times 3\times 10^{-9}}{24\times 10^{-5}}$$

To multiply powers of the same base, add their exponents. Add -2 and -9 to get -11.

$$\frac{10^{-11}\times 3}{24\times 10^{-5}}$$

Cancel out 3 in both numerator and denominator.

$$\frac{10^{-11}}{8\times 10^{-5}}$$

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

$$\frac{1}{8\times 10^{6}}$$

Calculate 10 to the power of 6 and get 1000000.

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

Multiply 8 and 1000000 to get 8000000.

$$\frac{1}{8000000}$$

Factor

$$\frac{1}{2 ^ {9} \cdot 5 ^ {6}} = 1.25 \times 10^{-7}$$