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How do you simplify #(5m^-1 )/ (9(ab)^-4 c^7)#?

Answer 1

Ethan Adkins

To simplify this fraction, we need to get rid of the negative exponents.

Let's move the variables with the negative exponents to the other side of the fraction since #x^-y=1/x^y#:

#(5m^-1)/(9(ab)^-4c^7)#

#(5(ab)^4)/(9mc^7)#

#(5a^4b^4)/(9mc^7)#

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Answer 2

Eva Abramson

To simplify the expression (5m^-1) / (9(ab)^-4 c^7), you can rewrite the negative exponents as positive exponents by moving them to the denominator, then multiply the numerators and denominators separately:

(5m^-1) / (9(ab)^-4 c^7) = (5 / 9) * (m^1 / (ab)^4) * c^(-7) = (5 / 9) * (1 / (a^4b^4)) * (1 / (c^7)) = 5 / (9a^4b^4c^7)

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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.