(-x)^2(-x)^5

Question

simplify the expression

Answer 1

a^m · aⁿ = a^m+n
(-x)²(-x)⁵ = (-x)²⁺⁵ = (-x)⁷

Answer 2

When the base of the exponents is the same (-X), then all you have to do is add the exponents.

Answer is:  (-X)^2+5 or (-X)^7   because  (-X)^2 = (-X)(-X)

                                                                  (-X)^5 = (-X)(-X)(-X)(-X)(-X)

                                                                   Altogether, you have (-X) multiplied by

                                                                    Itself 7 times!

Answer 3

(-x)².(-x)⁵

= [(-1)(x)]².[(-1)(x)]⁵             (-x) is nothing but the product of x and -1.

= (-1)²(x)²(-1)⁵(x)⁵                 (ab)ⁿ = (a)ⁿ(b)ⁿ ;

Also, recall that (a)ⁿ = a * a * a . . . . 'n' times

Complete the next two steps in the problem to get the answer. Let me know if you have questions.

Good Luck !