Which expression is equivalent to \( \left(4^{0}\right)^{-6} ? \) Answer \( \begin{array}{ll}0 & 1 \\ 4^{6} & 4^{-7}\end{array} \)
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Let’s break it down! The expression \(4^{0}\) is equal to 1, because any number raised to the power of 0 is 1. So, when you evaluate \( (4^{0})^{-6} \), it becomes \( 1^{-6} \), which is still 1. Now for a fun twist, if you're curious about exponents like this, remember that \( a^{m} \cdot a^{-m} = a^{0} \), keeping the pattern of zero exponents in mind lends you great powers over numbers! Keep that in your toolkit for solving similar problems in the future!
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