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

Answer 1

Kennedy Adams

#(25/9)=2(7/9)#

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

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Answer 2

Genesis Allen

The answer is #25/9#

Well the idea of a negative exponent is that the base is on the wrong side of the fraction line, so you need to flip the base to the other side. For instance, if you were to have #x^-3#, we would make it #1/x^3# So in this case, we have #(3/5)^-2# so it needs to be brought under the fraction line, making it #1/(3/5)^2# As you can see, the exponent becomes positive when you do this. From there, simply square the fraction #1/(9/25)# and divide 1 by the fraction. As you probably know, dividing by a fraction flips it as well, so you have #1*25/9# Which equals #25/9# .

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Answer 3

Eva Abramson

To simplify (3/5)^-2, you can reciprocate the fraction and then apply the negative exponent:

(3/5)^-2 = (5/3)^2 = 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.