Question
Which expression is equivalent to \( \left(4^{0}\right)^{-6} ? \) Answer \( \begin{array}{ll}0 & 1 \\ 4^{6} & 4^{-7}\end{array} \)
Ask by Brooks Morgan. in the United States
Mar 15,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( \left(4^{0}\right)^{-6} = 1 \)
Solution

Sign in to Unlock Answers for Free!
A Learning Platform Trusted by Millions of Real Students and Teachers.

Answered by UpStudy AI and reviewed by a Professional Tutor
Like
Extra Insights
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!