Expand the properties of exponents to involve monomial bases with integer exponents to simplify the expression (- 25x ^ 2)/5x (1 point)

- 5x ^ 9

- 5x ^ 7

- 5x ^ 8

5x ^ 7

1 answer

To simplify the expression (- 25x ^ 2)/5x using the properties of exponents, we can divide the coefficients and subtract the exponents.

First, we divide -25 by 5 and get -5.

Next, we subtract the exponents. We have x^2 divided by x. When dividing monomials with the same base, we subtract the exponents. So, x^2 / x is equal to x^(2-1) = x^1 = x.

Therefore, (- 25x ^ 2)/5x simplifies to -5x.

So, the correct answer is - 5x ^ 1, which can also be written as -5x.