5x^-1/-y^-1

once again, what are you asking?

how is this simplified

-y/5x

Whenever you have anything raised to the negative power, flip it upside down. So:

X^-1 = 1/X
or
X^-3 = 1/(X^3)

Whenever anything is raised to the 1 power, it is itself.

X^1 = X
12398719283719^1 = 12398719283719

Whenever anything is raised to the 0 power, it is 1.

X^0 = 1
12398719283719^0 = 1

To simplify the expression 5x^-1 / -y^-1, we can use the rule mentioned earlier: anything raised to the negative power can be flipped upside down.

So, x^-1 becomes 1/x and y^-1 becomes 1/y. After flipping these terms, the expression becomes:

5 * (1/x) / (-1/y)

Next, we can simplify this expression further by multiplying the numerator and denominator by the reciprocal of the denominator (-1/y):

(5 * 1/x) * (y/-1)

This simplifies to:

5y / -x

Finally, we can simplify further by rearranging the terms to have the negative sign in the numerator:

-y / (5x)

So, the simplified expression is -y / (5x).