Answer:
a = 1/64
Step-by-step explanation:
3 + 4 a ^ 1/6 = 5
1. move constant to the right side and change its sign
4 a ^ 1/6 = 5 - 3
2. using a ^ m/n = n√a^m transform the expression
4 6√a = 5 - 3
3. Subtract the numbers
4 6√a = 2
4. Divide both sides of the equation by 4
6√a = 1/2
5. Raise both sides of the equation to the power of 6.
a = 1/64
