Answer:
y²/⁵
Step-by-step explanation:
From the question given above, we obtained the following:
³√(y²÷y⁴/⁵)
We can simplify the above expression as follow:
³√(y²÷y⁴/⁵)
Recall
Mˣ ÷ ʸ = Mˣ ¯ ʸ
Thus,
³√(y²÷y⁴/⁵) = ³√(y² ¯ ⁴/⁵)
³√(y²÷y⁴/⁵) = ³√(y⁶/⁵)
Recall:
ⁿ√M = M¹/ⁿ
Thus,
³√(y⁶/⁵) = (y⁶/⁵)¹/³
³√(y⁶/⁵) = y²/⁵
Therefore,
³√(y²÷y⁴/⁵) = y²/⁵
