Simplify: (3x²y³)² × (2xy)³

(3x²y³)² = 9x⁴y⁶ and (2xy)³ = 8x³y³. Product = 72x^(4+3)y^(6+3) = 72x⁷y⁹.

What is the value of 27^(−2/3)?

27^(2/3) = (∛27)² = 3² = 9. The negative exponent gives the reciprocal: 1/9.

2^x = 2^5 so x = 5. Then 2^(5−3) = 2² = 4.

√(50x⁴y²) = √(25·2·x⁴·y²) = 5x²y√2.

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Which of the following is equivalent to x^(2/3)?