Question
\begin{tabular}{l} Evaluate. \\ Exponents and integers: Problem type 1 \\ \( (-6)^{2}=\square \) \\ \( (-3)^{3}= \) \\ \hline\end{tabular}
Ask by Burgess Huang. in the United States
Mar 14,2025
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Answer
\( (-6)^{2} = 36 \) and \( (-3)^{3} = -27 \).
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First, let's tackle the first expression: \( (-6)^{2} = (-6) \times (-6) = 36 \). Squaring a negative number results in a positive number because the product of two negative numbers is positive. So, fill in the square with 36! Now, onto the second expression: \( (-3)^{3} = (-3) \times (-3) \times (-3) \). First, calculate \( (-3) \times (-3) = 9 \), and then multiply by the remaining \( -3 \): \( 9 \times (-3) = -27 \). So, \( (-3)^{3} = -27 \).