Answer:
x = 3 and also x = -27
Explanation:
(x² + 24x)^1/4 = 3
multiply each side by ^4
(x² + 24x)^1/4(^4/1) = 3^4
multiplying the exponents 1/4 by 4/1 results in an exponent of 1
(x² + 24x)^1 = 81
x² + 24x - 81 = 0
(x - 3)(x + 27) = 0
x - 3 = 0 therefore, x = 3
x + 27 - 0 therefore, x = -27