Pregunta
Use the definition of exponents as indicated repeated multiplication to simplify: \( 9^{2}=\square \)
Ask by Weston Welch. in the United States
Nov 18,2024
Solución de tutoría real
Respuesta verificada por el tutor
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\( 9^2 = 81 \)
Solución
The definition of exponents states that \( a^n \) means \( a \) multiplied by itself \( n \) times.
For \( 9^2 \), this means:
\[
9^2 = 9 \times 9
\]
Now, we can calculate \( 9 \times 9 \):
\[
9 \times 9 = 81
\]
Thus,
\[
9^2 = 81
\]
So, the simplified result is:
\[
9^2 = 81
\]
Therefore, the answer is \( \square = 81 \).
Revisado y aprobado por el equipo de tutoría de UpStudy
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The Deep Dive
Using the definition of exponents, \( 9^2 \) means multiplying 9 by itself two times. So, we can write it as \( 9 \times 9 \). Performing the multiplication gives us \( 81 \). Therefore, \( 9^2 = 81 \). If you ever find yourself in a multiplication pickle, just remember that exponents are like shortcuts! Instead of writing out all those multiplications, you get to use a neat little superscript. Embrace the power of exponents—they make math feel almost magical!
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