SOLUTION: Can you help me to simplify these two negative exponents. −4d⁻²e⁻¹f³ 6x³y⁻²z²

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Question 861380: Can you help me to simplify these two negative exponents.
−4d⁻²e⁻¹f³

6x³y⁻²z²

Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!

-4d%5E%28-2%29e%5E%28-1%29f%5E3

Consider it to have a denominator of 1:

%28-4d%5E%28-2%29e%5E%28-1%29f%5E3%29%2F1

To get a factor with a negative exponent positive, move base 
and exponent from the numerator to the denominator, (or vice-versa)
and change the exponent to positive:

We move the d-2 from numerator to denominator and
change the negative exponent to positive and we have d2
in the denominator:

%28-4e%5E%28-1%29f%5E3%29%2F%281%2Ad%5E2%29

We move the e-1 from numerator to denominator and
change the negative exponent to positive and we have e1
in the denominator: 

%28-4f%5E3%29%2F%281%2Ad%5E2e%5E1%29

We can eliminate the 1's, leaving them understood:

%28-4f%5E3%29%2F%28d%5E2e%29

----------------------------------

6x³y⁻²z²

6x%5E3y%5E%28-2%29z%5E2

Consider it to have a denominator of 1:

%286x%5E3y%5E%28-2%29z%5E2%29%2F1

We move the y-2 from numerator to denominator and
change the negative exponent to positive and we have y2
in the denominator:

%286x%5E3z%5E2%29%2F%281%2Ay%5E2%29

Eliminate the 1 understood:

%286x%5E3z%5E2%29%2Fy%5E2

Edwin