What is the value of
$5^{\tfrac{1}{5}} \cdot 5^{\tfrac{2}{5}} \cdot 5^{\tfrac{3}{5}} \cdot 5^{\tfrac{4}{5}}$ ?

Correct answer marked below

5\sqrt{5}

5

5^5\sqrt{5}

25

Correct

25\sqrt{5}

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What this question tests

Your handling of square and higher roots, including simplifying radicals.

Forgetting the ± when taking a square root to solve an equation, or assuming √(a²) = a.

What is the value of515⋅525⋅535⋅5455^{\tfrac{1}{5}} \cdot 5^{\tfrac{2}{5}} \cdot 5^{\tfrac{3}{5}} \cdot 5^{\tfrac{4}{5}}551​⋅552​⋅553​⋅554​?