Expand the properties of exponents to involve monomial bases with integer exponents to simplify the expression −25x85x.(1 point)

Responses

−5x9
negative 5 x superscript 9 baseline

−5x8
negative 5 x superscript 8 baseline

5x7
5 x superscript 7 baseline

−5x7
negative 5 x superscript 7 baseline

1 answer

To expand the properties of exponents for monomial bases with integer exponents, we use the rule:

a^m * a^n = a^(m + n)

In the given expression -25x^8 * 5x^7, we can apply this rule as follows:

-25x^8 * 5x^7 = -25 * 5 * x^8 * x^7

Simplifying, we get:

= -125 * x^(8 + 7)

= -125 * x^15

Therefore, the simplified expression is -125x^15.