Use the Product Rule of Exponents to simplify the expression 2(x4) x 2(x2)= .(1 point)

Answer 1

To simplify the expression \( 2^{x^4} \times 2^{x^2} \) using the Product Rule of Exponents, we can combine the exponents, since they have the same base.

The Product Rule states that \( a^m \times a^n = a^{m+n} \).

In this case, we have:

\[ 2^{x^4} \times 2^{x^2} = 2^{x^4 + x^2} \]

So, the expression simplifies to:

\[ 2^{x^4 + x^2} \]

That's the final simplified expression.