By what number should (3/5)^-2 be multiplied to get (3/2)^-2
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Answer:
2^-3 = 1/ (2^3) = 1/ (2×2×2) = 1/8
Let the number to be multiplied by (2^-3) to get the answer 5 be ‘n'
Thus,
n × (2^-3) = 5
which means,
n × (1/8) = 5
Multiplying both LHS and RHS by 8, we get
8 × n × 1/8 = 5 × 8
That means,
n = 40.
We should multiply (2^ -3) by 40 to get 5
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