$5^0 \times 8 = x$

## Concept & Formula This problem tests the Zero Exponent Rule. According to the laws of indices, any non-zero number raised to the power of zero is always equal to $1$. $$a^0 = 1 \text{ (where } a \neq 0)$$ ## Step-by-Step Solution * **Given:** The expression to evaluate is $5^0 \times 8$. * **Calculation / Deduction:** * First, simplify the exponential term using the Zero Exponent Rule. * $5^0 = 1$ * Substitute this value back into the original expression. * $1 \times 8 = 8$ ## Exam Strategy & Shortcut Evaluate $5^0$ as $1$ instantly in your head. Do not waste time writing down intermediate steps. The moment you see a zero power on a non-zero base, treat it as a multiplication by $1$. ## Common Pitfall A very common error is assuming that any number raised to the power of zero equals $0$ (i.e., thinking $5^0 = 0$). If you make this mistake, your next step will be $0 \times 8 = 0$, leading you straight to the incorrect option (a). Always remember the zero exponent equals one. ## Final Answer **Therefore, the correct answer is 8.**