How do you simplify #3/3^ -4# leaving only positive exponents?

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Answer 1 · 2016-03-28T14:21:40

I found #3^5#

We can use the property of exponents where you have:
#a^m/a^n=a^(m-n)#
to get:
#3^1/3^-4=3^(1-(-4))=3^5#

Answer 2 · 2016-03-28T14:23:46

#3/3^-4 = (3)(^4) = 3^5 = 243#

In order to convert the negative exponent in the denominator to a positive integer simply move the term with the negative exponent to the numerator.

#3/3^-4 = (3)(3^4) = 3^5 = 243#