Which expression is equivalent to -9x^-1y^-9/-15^5y^-3 a.3/5x^5y^3 b.3/5x^6y^6 c.5/3x^5y^3 d.5/3x^6y^6

The answer is .

Our original expression was


Negative exponents tell us to switch sides of the fraction; therefore they get moved as such:



We can reduce the fraction we have:


Using the product property of exponents we can combine the exponents on the denominator:


Using the division property of exponents, we subtract the exponents of y and get:

First step is to get rid of the square root. remember that a square root is the same as raising to the (1/2) power. see below: multiply exponents per exponent rules to get: remember you subtract exponents from the denominator and add exponents in the numerator so: simplify further: so a is the correct choice. if you don't understand this google exponent rules and it will you understand. look at the image results.