Find the value of x in 2x⅔=8?

Answer 1

I can help you with that. To find the value of x in the equation 2x⅔ = 8, we can follow these steps:

1. Cube both sides of the equation: This will get rid of the fractional exponent.

(2x⅔)³ = 8³

2. Simplify the equation:

8x² = 512

3. Divide both sides by 8:

x² = 64

4. Take the square root of both sides:

√(x²) = √(64)

5. Simplify to find x:

x = ±8

Therefore, the solutions for x are 8 and -8.