To simplify the expression
[tex]\[
\left(x^{10}\right)\left(x^2\right)
\][/tex]
we can use the laws of exponents. Specifically, when multiplying two powers with the same base, we add their exponents. Therefore, we get:
[tex]\[
(x^{10})(x^2)
\][/tex]
Adding the exponents:
[tex]\[
x^{10 + 2} = x^{12}
\][/tex]
Thus, the simplified form of the expression is [tex]\( x^{12} \)[/tex].
So, the correct answer is:
[tex]\[
x^{12}
\][/tex]