Solve (a×b×c)^xa: Product of Variables with Variable Exponent

Let's solve the problem step by step:

We need to simplify the expression $(a \times b \times c)^{xa}$.

According to the power of a product rule, when you raise a product to an exponent, you raise each factor in the product to the exponent. Thus,
$(a \times b \times c)^{xa} = a^{xa} \times b^{xa} \times c^{xa}$.

The exponent $xa$ is distributed to each base inside the parentheses.

This means that each of the individual terms $a$, $b$, and $c$ is raised to the power of $xa$.

Therefore, the simplified form of the given expression is $a^{xa} \times b^{xa} \times c^{xa}$.