Question

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down,

correct position in the answer box. Release your mouse button when the item is place. If you change you
the item to the trashcan. Click the trashcan to clear all your answers.
Simplify by expressing fractional exponents instead of radicals.
y
12345678910
1 + xy + 12 13
4 15 16 17 18
9 10
abx
=
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Answer 1

X¹/⁴ Y¹/²

Step-by-step explanation:

From the question given above, we are required to simplify:

⁸√(X²Y⁴)

The above expression can be simplified as follow:

⁸√(X²Y⁴)

Recall:

ⁿ√Aᵐ = Aᵐ/ⁿ

Therefore,

⁸√(X²Y⁴) = X²/⁸ Y⁴/⁸

⁸√(X²Y⁴) = X¹/⁴ Y¹/²

Thus, ⁸√(X²Y⁴) is equivalent to X¹/⁴ Y¹/²