To find out how many times more people visit the Great Wall of China than Times Square, we need to divide the number of visitors at the Great Wall by the number of visitors at Times Square.
Let:
- \( T \) be the number of visitors at Times Square, which is given as \( T = 17^4 \).
- \( G \) be the number of visitors at the Great Wall of China, which is given as \( G = 17^6 \).
Now, we want to find the ratio \( \frac{G}{T} \):
\[ \frac{G}{T} = \frac{17^6}{17^4} \]
Using the properties of exponents, specifically \( \frac{a^m}{a^n} = a^{m-n} \), we can simplify this expression:
\[ \frac{G}{T} = 17^{6-4} = 17^2 \]
Now we calculate \( 17^2 \):
\[ 17^2 = 289 \]
Thus, on an average weekend, approximately 289 times more people visit the Great Wall of China than Times Square.
1 answer