Simplify the Expression: 6^a × 6^4a Using Laws of Exponents

Reduce the following equation:

$6^a\times6^{4a}=$

To solve this problem, we'll follow these steps:

• Identify the given expression and its components.

• Recognize that both terms share the same base.

• Apply the rule for multiplying powers with the same base, $b^m \times b^n = b^{m+n}$.

• Calculate the exponent by adding the powers together.

Let's work through these steps:

Given the expression:
$6^a \times 6^{4a}$

Since both terms share the same base (6), we use the rule for multiplying powers with the same base:

$6^a \times 6^{4a} = 6^{a + 4a}$.

Simplify the exponent:

$a + 4a = 5a$.

Thus, the expression simplifies to:

$6^{5a}$.

Since the correct placement of our steps has directly given us choice C and corroborated choice B as intermediary work, B+C represents the comprehensive workings of the problem; thus, B+C are correct is the most comprehensive solution.