by what number should (- 3/5)^-3 be divided so that the answer may be (6/125)^-2?
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Answer:
-4/375
Step-by-step explanation:
let the number be X
=> (-3/5)^(-3) / X= (6/125)^(-2)
=> X= (-3/5)^(-3) / (6/125)^(-2)
= (-5/3)³ × (6/125)²
=( -125×36) / ( 27×125×125)
= - 4/(3×125)
= -4 / 375
rule:- (1) (a/b)^(-n) = (b/a)^n
(2) a^m /b^(-n) = a^m × b^n
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