9
QuizMultiple Choice

Exponential Functions with Radical Bases — Quiz

Question 9 • Algebra I

Which is equivalent to 80 raised to the 1 fourth x power ?

Answer
A
open paren 80 over x close paren to the 4th power
B
80 fourths to the x th power
C
4th root of 80 to the x th power
D
x th root of 80 to the 4th power

Explanation

The exponent “one fourth x” means x/4, so the expression is 80^(x/4). Using the rule a^(m/n) = (ⁿ√a)^m, this becomes (⁴√80)^x. That matches “the fourth root of 80 to the xth power.”

AI-written and checked against the verified answer.

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