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

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

Evaluate

$$\frac{3}{12500000000000}=2.4 \cdot 10^{-13}$$

Solution Steps

To raise a power to another power, multiply the exponents. Multiply -3 and 3 to get -9.

$$24\times 10^{-5}\times 10^{-9}$$

To multiply powers of the same base, add their exponents. Add -5 and -9 to get -14.

$$24\times 10^{-14}$$

Calculate 10 to the power of -14 and get \frac{1}{100000000000000}.

$$24\times \frac{1}{100000000000000}$$

Multiply 24 and \frac{1}{100000000000000} to get \frac{3}{12500000000000}.

$$\frac{3}{12500000000000}$$

Factor

$$\frac{3}{2 ^ {11} \cdot 5 ^ {14}} = 2.4 \times 10^{-13}$$