Solve 250*1div18.159*(6.02*10^23)div1

$$250 \times 1 \div 18.159 \times (6.02 \times { 10 }^{ 23 } ) \div 1$$

Evaluate

$$\frac{150500000000000000000000000000}{18159}\approx 8.287901316 \cdot 10^{24}$$

Solution Steps

Multiply 250 and 1 to get 250.

$$\frac{\frac{250}{18.159}\times 6.02\times 10^{23}}{1}$$

Expand \frac{250}{18.159} by multiplying both numerator and the denominator by 1000.

$$\frac{\frac{250000}{18159}\times 6.02\times 10^{23}}{1}$$

Convert decimal number 6.02 to fraction \frac{602}{100}. Reduce the fraction \frac{602}{100} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{250000}{18159}\times \frac{301}{50}\times 10^{23}}{1}$$

Multiply \frac{250000}{18159} times \frac{301}{50} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{250000\times 301}{18159\times 50}\times 10^{23}}{1}$$

Do the multiplications in the fraction \frac{250000\times 301}{18159\times 50}.

$$\frac{\frac{75250000}{907950}\times 10^{23}}{1}$$

Reduce the fraction \frac{75250000}{907950} to lowest terms by extracting and canceling out 50.

$$\frac{\frac{1505000}{18159}\times 10^{23}}{1}$$

Calculate 10 to the power of 23 and get 100000000000000000000000.

$$\frac{\frac{1505000}{18159}\times 100000000000000000000000}{1}$$

Express \frac{1505000}{18159}\times 100000000000000000000000 as a single fraction.

$$\frac{\frac{1505000\times 100000000000000000000000}{18159}}{1}$$

Multiply 1505000 and 100000000000000000000000 to get 150500000000000000000000000000.

$$\frac{\frac{150500000000000000000000000000}{18159}}{1}$$

Anything divided by one gives itself.

$$\frac{150500000000000000000000000000}{18159}$$

Factor

$$\frac{7 \cdot 43 \cdot 2 ^ {26} \cdot 5 ^ {27}}{3 \cdot 6053} = 8.287901316151771 \times 10^{24}\frac{16199}{18159} = 8.287901316151771 \times 10^{24}$$