Question

simplify the expression.
$x^4 (x^{12})$
options: $x^{16}$, $x^{48}$, $x^8$, $x^3$

Explanation:

Step1: Recall exponent rule

When multiplying exponents with the same base, we use the rule \( a^m \cdot a^n = a^{m + n} \). Here, the base \( a = x \), \( m = 4 \), and \( n = 12 \).

Step2: Apply the rule

Add the exponents: \( x^{4 + 12} = x^{16} \).

Answer:

\( x^{16} \) (corresponding to the option with \( x^{16} \))