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Question 1 of 5: Simplify
$$\left(\frac{xy^{-5}}{x^{-3}y}\right)^{-2}$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Thinking Emoji
A
$$\frac{y^{18}}{x^5}$$
B
$$\frac{y^{7}}{x^9}$$
C
$$\frac{y^{12}}{x^8}$$
D
$$\frac{y^{13}}{x^4}$$
E
$$\frac{y^{-5}}{x^{-10}}$$
Question 2 of 5: Simplify
$$\frac{(3x^{-2}y^3)^2(5x^{-3}y^{-5})^{-1}}{(x^2y^{-2})^{-3}}$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Thinking Emoji
A
$$\frac{2x^6y^3}{2}$$
B
$$\frac{9x^5y^5}{5}$$
C
$$\frac{11x^2y^3}{2}$$
D
$$\frac{2x^{-5}y^3}{5}$$
E
$$\frac{9x^{-5}y^{-5}}{-5}$$
Question 3 of 5: Simplify
$$\left[\frac{4x^{-5}y^{-2}z}{2x^8y^{-4}z^2}\right]^{-2}$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Thinking Emoji
A
$$\frac{x^{9}z^1}{4y^5}$$
B
$$\frac{x^{31}z^{-5}}{4y^7}$$
C
$$\frac{x^{-7}z^2}{4y^{-4}}$$
D
$$\frac{x^{26}z^2}{4y^4}$$
E
$$\frac{4x^{-13}z^5}{y^9}$$
Question 4 of 5: Simplify
$$\frac{(9^{-1}z^{-2}x)^0(4z^2x^4)^{-1}}{(8z^{-3}x^{-2})^0}$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Thinking Emoji
A
$$\frac{1}{2x^8z^4}$$
B
$$\frac{1}{4x^2z^4}$$
C
$$\frac{1}{x^2z^2}$$
D
$$\frac{1}{12x^3z^8}$$
E
$$\frac{1}{4x^4z^2}$$
Question 5 of 5: Simplify
$$\frac{(2^{-1}x^{-1}y^0)^{-3}(5x^{-3}y^4)^{-4}}{(3x^{-3}y^{-5})^{-1}}$$
Finish »
Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Thinking Emoji
A
$$\frac{24x^{12}}{625y^{21}}$$
B
$$\frac{6x^{18}}{125y^{13}}$$
C
$$\frac{12x^{12}}{25y^{105}}$$
D
$$\frac{x^{2}}{y^{5}}$$
E
$$\frac{36x^{-12}}{625y^{-105}}$$

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