can someone solve 2000 = 4𝐾^0.75 * L^0.25 where k=3/10 L. i tryed to solve this by adding the powers 2000=4(3/10 L^1) however i get an answer of 5000/3 which is not the correct answer the correct answer is 5000(10/3)^.75
2000 = 4𝐾^0.75 * L^0.25 where k=3/10 L ...
... the correct answer is 5000(10/3)^.75
I assume you're solving for $L$ ...
$2000 = 4\left(\dfrac{3}{10}L\right)^{3/4} \cdot L^{1/4}$
$2000 = 4\left(\dfrac{3}{10}\right)^{3/4} \cdot L^{3/4} \cdot L^{1/4}$
$2000 = 4\left(\dfrac{3}{10}\right)^{3/4} \cdot L$
$500 = \left(\dfrac{3}{10}\right)^{3/4} \cdot L$
$500 \cdot \left(\dfrac{10}{3}\right)^{3/4} = L$
I disagree with your "correct answer" by a factor of 10 ...