By which number should (-2/3)^-3 be divided so that the question is (4/9)^-5
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Answer:
(-2/3)^7
Step-by-step explanation:
Let the number be x.
According to Question,
(-2/3)^-3 ÷ x = (4/9)^-5
(-2/3)^-3 ÷ x = [(2/3)²]^-5
(-2/3)^-3 ÷ x = (2/3)^-10
(-2/3)^-3 ÷ (2/3)^-10 = x
x = (-2/3)^[-3-(-10)]
x = (-2/3)^[-3+10]
x = (-2/3)^7
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