Simplify 2x(x(2/3))

Simplify 2x(x^(2/3))

Answer: 2x^5/3

Solution

2x(x^(2/3))

2x(x⅔)

Move x into the bracket

2(x⅔x)

Raise x to the power of 1

2(x⅔ x¹)

Use the product rule a^maⁿ = a^m+n to combine exponents

2x⅔+¹

Write 1 as a fraction with common denominator

2x⅔+³/³

Combine the numerators over the common denominator

2x²+³/³

Add 2 and 3

2x^5/3