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Question 1 of 5Simplify, assume all variables represent positive real numbers.
$$-10\sqrt[4]{162x^7y^5}$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Thinking Emoji
A
$$-15x^3y^2\sqrt[4]{18x}$$
B
$$-xy^2\sqrt[4]{4x^3}$$
C
$$-8xy\sqrt[4]{8x^2y^2}$$
D
$$-2x^2y^2\sqrt[4]{x^2}$$
E
$$-30xy\sqrt[4]{2x^3y}$$
Question 2 of 5Simplify, assume all variables represent positive real numbers.
$$-6\sqrt[5]{-256x^6yz^6}$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Thinking Emoji
A
$$2x^2z^2\sqrt[5]{2y}$$
B
$$-2x^2zy\sqrt[5]{16yz}$$
C
$$12xz\sqrt[5]{8xyz}$$
D
$$30x^3z^3\sqrt[5]{2y}$$
E
$$-22x^2z^2\sqrt[5]{-4y}$$
Question 3 of 5Simplify, assume all variables represent positive real numbers.
$$-6\sqrt[3]{5x^2}\cdot 6\sqrt[3]{3x^4}$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Thinking Emoji
A
$$-12x\sqrt[3]{5x}$$
B
$$6x\sqrt[3]{15x^2}$$
C
$$-4x^2\sqrt[3]{9}$$
D
$$-18x^3\sqrt[3]{15}$$
E
$$-36x^2\sqrt[3]{15}$$
Question 4 of 5Simplify, assume all variables represent positive real numbers.
$$\frac{4x\sqrt{6}}{2\sqrt{24x^2}}$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Thinking Emoji
A
$$8x$$
B
$$\frac{x}{2}$$
C
$$1$$
D
$$6x^2\sqrt{2}$$
E
$$16x^2$$
Question 5 of 5Simplify, assume all variables represent positive real numbers.
$$8\sqrt[5]{\frac{625x^6y^7z^2}{5^{-1}x^{-4}y^2z}}$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Thinking Emoji
A
$$25xyz$$
B
$$125x^2y^2\sqrt[5]{z^3}$$
C
$$\frac{200x^2y}{z}$$
D
$$40x^2y\sqrt[5]{z}$$
E
$$\frac{\sqrt[5]{z}}{25x^2y}$$

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