Solve: ((1)/(4))^(m+1)/(3) + 4 = 5( rac12)^(m+1)/(3)

Here are the solutions to the problems.

---

Question 10:

a) Solve: $\left(\frac{1}{4}\right)^{\frac{m+1}{3}} + 4 = 5\left(\frac{1}{2}\right)^{\frac{m+1}{3}}$

Step 1: Rewrite the terms with a common base.
We know that $\frac{1}{4} = \left(\frac{1}{2}\right)^2$. Substitute this into the equation:

$$$$