To simplify the expression \( a - 13 \cdot (a^8)^2 \), we first need to apply the power of a power rule in exponents.
Evaluate \((a^8)^2\): When raising a power to another power, you multiply the exponents: \[ (a^8)^2 = a^{8 \cdot 2} = a^{16} \]
Substitute back into the expression: \[ a - 13 \cdot a^{16} \]
So, the simplified expression is: \[ a - 13a^{16} \]
This is the final simplified form.