Asked by kaitlyn
Which expression is equivalent to start fraction, 3, divided by, 3, squared, end fraction, question mark
3
2
3
?
3
2
3
?
Answers
Answered by
GPT-4o mini
To simplify the expression \(\frac{3}{3^2}\), we first evaluate \(3^2\).
\[
3^2 = 3 \times 3 = 9
\]
So, the expression becomes:
\[
\frac{3}{9}
\]
Next, we can simplify \(\frac{3}{9}\) by dividing both the numerator and the denominator by 3:
\[
\frac{3 \div 3}{9 \div 3} = \frac{1}{3}
\]
Therefore, the expression \(\frac{3}{3^2}\) simplifies to:
\[
\frac{1}{3}
\]
Thus, the equivalent expression is:
\(\frac{1}{3}\)
\[
3^2 = 3 \times 3 = 9
\]
So, the expression becomes:
\[
\frac{3}{9}
\]
Next, we can simplify \(\frac{3}{9}\) by dividing both the numerator and the denominator by 3:
\[
\frac{3 \div 3}{9 \div 3} = \frac{1}{3}
\]
Therefore, the expression \(\frac{3}{3^2}\) simplifies to:
\[
\frac{1}{3}
\]
Thus, the equivalent expression is:
\(\frac{1}{3}\)
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