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

Question

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

Explanation:

Step1: Apply exponent product rule

When multiplying like bases, add exponents: $x^a \cdot x^b = x^{a+b}$

Step2: Substitute and calculate exponents

$x^4(x^{12}) = x^{4+12} = x^{16}$

Answer:

$x^{16}$