How do you rewrite #((5a)/(3b))^-2# using a positive exponent?

Answer 1

Have a look:

You can think that changing the sign of your exponent is like taking a lift: if you are at the ground floor (denominator) you go to the first (numerator) and viceversa.

In your case: #((5a)/(3b))^-2=(color(red)((3b)/(5a)))^(color(blue)(+)2)#

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Answer 2

Jameson Allen

To rewrite (\left(\frac{5a}{3b}\right)^{-2}) using a positive exponent, you can move the expression from the denominator to the numerator and change the exponent to positive. So, (\left(\frac{5a}{3b}\right)^{-2}) becomes (\left(\frac{3b}{5a}\right)^{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.