Solve 6.626*10^-34310^8/0.2410^-18

$$\frac{ 6.626 \times { 10 }^{ -34 } 3 { 10 }^{ 8 } }{ 0.24 { 10 }^{ -18 } }$$

Evaluate

$$0.00000082825$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -34 and 8 to get -26.

$$\frac{6.626\times 10^{-26}\times 3}{0.24\times 10^{-18}}$$

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

$$\frac{3\times 6.626}{0.24\times 10^{8}}$$

Multiply 3 and 6.626 to get 19.878.

$$\frac{19.878}{0.24\times 10^{8}}$$

Calculate 10 to the power of 8 and get 100000000.

$$\frac{19.878}{0.24\times 100000000}$$

Multiply 0.24 and 100000000 to get 24000000.

$$\frac{19.878}{24000000}$$

Expand \frac{19.878}{24000000} by multiplying both numerator and the denominator by 1000.

$$\frac{19878}{24000000000}$$

Reduce the fraction \frac{19878}{24000000000} to lowest terms by extracting and canceling out 6.

$$\frac{3313}{4000000000}$$

Factor

$$\frac{3313}{2 ^ {11} \cdot 5 ^ {9}} = 8.2825 \times 10^{-7}$$