Solve (7/125)⁰: Understanding Zero Exponent Evaluation

Think of it as the pattern of exponents: $2^3 = 8$, $2^2 = 4$, $2^1 = 2$. Each time we decrease the exponent by 1, we divide by the base. So $2^0 = 2^1 ÷ 2 = 2 ÷ 2 = 1$!

Yes! The zero exponent rule works for any non-zero number, including fractions. Whether it's $(\frac{1}{2})^0$, $(\frac{7}{125})^0$, or even $(\frac{999}{1000})^0$, they all equal 1.

Great question! $0^0$ is actually undefined in mathematics. The zero exponent rule only applies when the base is not zero. Since $\frac{7}{125} ≠ 0$, our rule works perfectly here.

Yes! Look for the exponent 0 in the problem. No matter how complicated the base looks (fractions, decimals, expressions), if the exponent is 0 and the base isn't zero, the answer is always 1.

Don't confuse these! Multiplying by zero gives 0, but raising to the power of zero gives 1. The zero is in different positions: $5 × 0 = 0$ but $5^0 = 1$.