Which expression is equivalent to the fraction with numerator open paren x to the 6th power y to the 8th power close paren cubed and denominator x squared y squared ?

First raise each factor in the numerator to the third power: (x⁶y⁸)³ = x¹⁸y²⁴. When dividing powers with the same base, subtract the exponents: x¹⁸⁻²y²⁴⁻² = x¹⁶y²². So the equivalent expression is x to the 16th power times y to the 22nd power, choice B.

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