Answer:
-7.17
Step-by-step explanation:
[tex] {(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[/tex]