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How do you simplify #((5a)/(3b))^-2#?

Answer 1

Avery Alexander

#((5a)/(3b))^-2# #= 1/((5a)/(3b))^2# #=((3b)/(5a))^2# #=((3b)^2)/(5a)^2# #=(3^2b^2)/(5^2a^2)# #=(9b^2)/(25a^2)#

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Answer 2

Nathan Axel

To simplify ((5a)/(3b))^-2, you raise the entire fraction to the power of -2. This means the denominator becomes the numerator and vice versa, and then you apply the exponent to both the numerator and the denominator. So, ((5a)/(3b))^-2 simplifies to ((3b)/(5a))^2.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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