By what number should (-2/3)-³ be divided so that the quotient be (4/9)-²?
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Answer:
-7
Step-by-step explanation:
Let the number be x
(-2/3)³/x = (9/4)²
(-2/3)³/x = (3/2)⁴
(-2/3)³/x = (2/3)^-4
(-2/3)³/x = (-2/3)^-4
x = (-2/3)^-4/(-2/3)^3
x = (-2/3)^-7
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