Question

Solve (u + 10) ^ (4/3) = 4 where u is a real
Simplify your answer as much as possible
(If there is more than one solution, separate with a comma

Answer 1

Answer:

-7.17

Step-by-step explanation:

${(u + 10)}^{ \frac{4}{3} } = 4 \\ \\ u + 10 = {4}^{ \frac{3}{4} } \\ \\ u + 10 = ( {2}^{2} )^{ \frac{3}{4} } \\ \\ u + 10 = {2}^{2 \times \frac{3}{4} } \\ \\ u + 10 = {2}^{ \frac{3}{2} } \\ \\ u + 10 = {8}^{ \frac{1}{2} } \\ \\ u + 10 = \sqrt{8} \\ \\ u + 10 = 2.82842712 \\ \\ u = 2.82842712 - 10 \\ \\ u = -7.17157288 \\ \\ u \approx-7.17$