77.7k views
5 votes
Which is the simplified form of n-6p? O 1 O mo O O o mp3

1 Answer

3 votes

We are asked to find what the expression n^(-6) times p^3 is when all exponents are written as positive.

Recall the property for negative exponents that tell us that a negative exponent means to flip the expression over the fraction line in the way shown below:

a^(-n) = 1 / (a^n)

So, we do that for the negative exponent of our case:

n^{-6} = 1 / n^6

which means that now n to the power 6 go in the denominator.

our final expression is then:

p^3 / n^6 (p to the power 3 divided by n to the power 6)

which agrees with the third answer of the list.

User Jagan
by
6.0k points