Solve 10*10^-93*10^-9/24*10^-5

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

Evaluate

$$\frac{1}{8000000000000}=1.25 \cdot 10^{-13}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 1 and -9 to get -8.

$$\frac{10^{-8}\times 3\times 10^{-9}}{24\times 10^{-5}}$$

To multiply powers of the same base, add their exponents. Add -8 and -9 to get -17.

$$\frac{10^{-17}\times 3}{24\times 10^{-5}}$$

Cancel out 3 in both numerator and denominator.

$$\frac{10^{-17}}{8\times 10^{-5}}$$

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

$$\frac{1}{8\times 10^{12}}$$

Calculate 10 to the power of 12 and get 1000000000000.

$$\frac{1}{8\times 1000000000000}$$

Multiply 8 and 1000000000000 to get 8000000000000.

$$\frac{1}{8000000000000}$$

Factor

$$\frac{1}{2 ^ {15} \cdot 5 ^ {12}} = 1.25 \times 10^{-13}$$