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

Answer 1

#25/9#

You can expand this question to make it easier to think about. You can split the index into 2 parts, the (-1) and the 2. Therefore the question would be: #((3/5)^-1 )^2#
You can then do each bracket individually. The (-1) means you should flip the fraction so the nominator is the new denominator and the denominator is the new nominator: #((3/5)^-1 )^2 = (5/3)^2#
Then you need to square the nominator and denominator, to give you: #(5/3)^2 = 25/9#
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Answer 2

To simplify (3/5)^-2, you flip the fraction to get its reciprocal and then raise it to the power of 2. So, (3/5)^-2 becomes (5/3)^2, which equals 25/9.

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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.

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.

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.

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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