Simplify the Expression: a^2 × a^3 × a^4 Using Exponent Rules

To solve the problem of simplifying $a^2 \times a^3 \times a^4$, we apply the exponent rule for multiplying powers with the same base.

This rule states that to multiply powers with the same base, we add their exponents:

$a^m \times a^n = a^{m+n}$

Applying this rule to the problem at hand:

• The given expression is $a^2 \times a^3 \times a^4$

• We recognize that all parts have the same base, so we can add the exponents together: $2 + 3 + 4$.

• Therefore, we simplify the expression to $a^{2+3+4}$.

This matches with choice 4, $a^{2+3+4}$.