30/50 but if it asks for the most simplest form then it is 3/5. (As a fraction)
Answer:
![- \frac{25}{4}](https://tex.z-dn.net/?f=-%20%5Cfrac%7B25%7D%7B4%7D)
Step-by-step explanation:
²
Calculate sum
²
To raise a fraction to a power raise numerator and denominator to that power
-3 x ![\frac{9}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7B4%7D)
Calculate product
- ![\frac{27}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B27%7D%7B4%7D)
Subtract fractions
-![\frac{25}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B25%7D%7B4%7D)
D is your answer
1/3 of 18 is 6, so 2/3 would be 12
Answer:
a) 2.00 × 10¹⁰; b) 2.00 × 10¹³
Step-by-step explanation:
a) No. of cells in 1 cm³
![\text{No. of cells} =\text{1 cm}^{3} \times\left( \dfrac{\text{1 m}}{\text{100 cm}}\right )^{3} \times \left (\dfrac{1 \, \mu \text{m} }{10^{-6}\,\text{ m}}\right )^{3} \times \dfrac{\text{1 cell}}{\text{50 $\,\mu$m}^{3}} = \mathbf{2.00 \times 10^{10}} \textbf{ cells}](https://tex.z-dn.net/?f=%5Ctext%7BNo.%20of%20cells%7D%20%3D%5Ctext%7B1%20cm%7D%5E%7B3%7D%20%5Ctimes%5Cleft%28%20%5Cdfrac%7B%5Ctext%7B1%20m%7D%7D%7B%5Ctext%7B100%20cm%7D%7D%5Cright%20%29%5E%7B3%7D%20%5Ctimes%20%5Cleft%20%28%5Cdfrac%7B1%20%5C%2C%20%5Cmu%20%5Ctext%7Bm%7D%20%7D%7B10%5E%7B-6%7D%5C%2C%5Ctext%7B%20m%7D%7D%5Cright%20%29%5E%7B3%7D%20%5Ctimes%20%20%5Cdfrac%7B%5Ctext%7B1%20cell%7D%7D%7B%5Ctext%7B50%20%24%5C%2C%5Cmu%24m%7D%5E%7B3%7D%7D%20%3D%20%5Cmathbf%7B2.00%20%5Ctimes%2010%5E%7B10%7D%7D%20%5Ctextbf%7B%20cells%7D)
b) No. of cells in 1 L
![\text{No. of cells} = \text{1 L} \times \dfrac{\text{1000 cm}^{3}}{\text{1 L}} \times \dfrac{2 \times 10^{10} \text{ cells}}{\text{1 cm}^{3}} = \mathbf{2.00 \times 10^{13}} \textbf{ cells}](https://tex.z-dn.net/?f=%5Ctext%7BNo.%20of%20cells%7D%20%3D%20%20%5Ctext%7B1%20L%7D%20%5Ctimes%20%5Cdfrac%7B%5Ctext%7B1000%20cm%7D%5E%7B3%7D%7D%7B%5Ctext%7B1%20L%7D%7D%20%5Ctimes%20%5Cdfrac%7B2%20%5Ctimes%2010%5E%7B10%7D%20%5Ctext%7B%20cells%7D%7D%7B%5Ctext%7B1%20cm%7D%5E%7B3%7D%7D%20%3D%20%5Cmathbf%7B2.00%20%5Ctimes%2010%5E%7B13%7D%7D%20%5Ctextbf%7B%20cells%7D)