Solve 5*10^-5*2,4*10^-4

$$5 \cdot 10 ^ { - 5 } \times 2,4 \cdot 10 ^ { - 4 }$$

Evaluate

$$0,000000012$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -5 and -4 to get -9.

$$5\times 10^{-9}\times 2,4$$

Calculate 10 to the power of -9 and get \frac{1}{1000000000}.

$$5\times \frac{1}{1000000000}\times 2,4$$

Multiply 5 and \frac{1}{1000000000} to get \frac{1}{200000000}.

$$\frac{1}{200000000}\times 2,4$$

Multiply \frac{1}{200000000} and 2,4 to get \frac{3}{250000000}.

$$\frac{3}{250000000}$$

Factor

$$\frac{3}{2 ^ {7} \cdot 5 ^ {9}} = 1.2 \times 10^{-8}$$