Which expression is equivalent to open paren the fraction with numerator 4 raised to the 5 fourths power times 4 raised to the 1 fourth power and denominator 4 raised to the 1 half power close paren raised to the 1 half power ?

Combine the powers of 4 inside the parentheses by adding exponents in the numerator and subtracting the denominator’s exponent: 5/4 + 1/4 − 1/2 = 1. The expression becomes (4^1)^(1/2) = √4 = 2, so the equivalent expression is 2.

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