Question

Find the product of the following monomial

x^n * x^2

Answer 1

x^(n+2)

Explanation:

When multiplying two monomials with the same base but different exponents,

under the multiplication rule of exponents,

the product becomes the base number to the power of the sum of the exponents.

For example:

`a^2 + a^1 = a^(1+2)`

Therefore, since x^n and x^2 both have x as their bases,

the product becomes x^(n + 2)