For this case we have the following expression:
[tex]x ^ 2 * x ^ 5[/tex]
By properties of the power we have:
[tex]a ^ b * a ^ c = a ^ {(b + c)}[/tex]
Where "a" is the base and "b" and "c" are the exponents
That is, the same base is placed and the exponents are added. Applying this property to the given expression we have:
[tex]x ^ 2 * x ^ 5 = x ^ {(2 + 5)} = x ^ 7[/tex]
Then, the product of [tex]x ^ 2 * x ^ 5[/tex] is: [tex]x ^ 7[/tex]
Answer:
[tex]x ^ 2 * x ^ 5 = x ^ 7[/tex]
