by what number should (-3/2) to the power -2 be divided so that the quotient is (9/4) to the power -3
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Answer:
5.0625
Step-by-step explanation:
Let the number be x.
==: (-3/2)^-2 ÷ x = (9/4)^-3
==: x = (-3/2)^-2 ÷ (9/4)^-3
==: x = (4/9) ÷ (64/729)
==: x = 4/9 * 729/64
==: x = 5.0625
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