algebra 2 help please

Question

Find the positive solution of the equation.

4x to the 8/9 exponent +11 = 262155

Answer 1

As noted in Paul's comment above, there is ambiguity in your problem statement. Because it gives an interesting answer, I'm going to assume that it's:

4x^8/9 + 11 = 262,155

Subtract 11 from both sides:

4x^8/9 = 262,144

Divide both sides by 4:

x^8/9 = 65,536

Now raise both sides to the exponent 9/8 to cancel the 8/9 exponent on the x:

(x^8/9)^9/8 = (65,536)^9/8

x = _____? Use your calculator to get the RHS value