Question

\[ 2^4 \times 4^2 = 16^x \]

Solution

\[ 4 = 2^2,\quad 16 = 2^4 \] \[ 2^4 \times (2^2)^2 = (2^4)^x \] \[ 2^4 \times 2^4 = 2^{4x} \] \[ 2^8 = 2^{4x} \] \[ 8 = 4x \] \[ x = 2 \]

Answer

\[ \boxed{2} \]

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