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Question 1 of 5Rewrite using rational exponents:
$$\sqrt{x + 14}$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
$$(x + 14)^{\frac{1}{2}}$$
B
$$x^{\frac{1}{2}}+ 14^{\frac{1}{2}}$$
C
$$\frac{1}{2}\cdot (x + 14)^2$$
D
$$\frac{1}{(x + 14)^{\frac{1}{2}}}$$
E
$$(x + 14)^2$$
Question 2 of 5Simplify each:
$$(81x^4)^{\frac{3}{2}}$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
$$6x^3$$
B
$$4x$$
C
$$\frac{x^3}{729}$$
D
$$729x^6$$
E
$$\frac{x^2}{9}$$
Question 3 of 5Simplify each:
$$(343x^9)^{\frac{4}{3}}$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
$$\frac{1}{x^6}$$
B
$$\frac{1}{x^8}$$
C
$$2401x^{12}$$
D
$$\frac{1}{7776x^{15}}$$
E
$$7x^5$$
Question 4 of 5Simplify each:
$$\frac{(y^{\frac{1}{4}}z^{\frac{2}{3}})^7}{(x^{\frac{3}{2}}y^{\frac{5}{3}}z^2)^0 \cdot y^{\frac{7}{4}}z^{-\frac{1}{2}}}$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
$$y^{\frac{9}{4}}z^{\frac{5}{3}}$$
B
$$x^{\frac{1}{2}}y^{\frac{2}{3}}z^{\frac{1}{4}}$$
C
$$\frac{y^{\frac{1}{4}}}{z^2}$$
D
$$z^{\frac{31}{6}}$$
E
$$\frac{xy^3}{z^2}$$
Question 5 of 5Simplify each:
$$\frac{(x^\frac{4}{3}y^2z^{-2}\cdot x^2y^{-\frac{3}{2}}z)^3}{x^{-1}y^{\frac{1}{2}}}$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
$$\frac{x^{\frac{1}{2}}y^{\frac{3}{4}}}{z}$$
B
$$\frac{x^{\frac{3}{2}}y^{\frac{3}{4}}}{z}$$
C
$$\frac{x}{y^2z}$$
D
$$\frac{x^{15}y^2}{z^2}$$
E
$$\frac{x^{11}y}{z^3}$$

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