Take a square piece of paper with a side length of 9 cm, cut off (1/3) for the first time, cut off the rest (1/2) for the second time, and cut off the rest (1/2) for the third time 3), cut off the remaining (1/2)... for the fourth time, cut out 8 times in total by this subtraction, what is the area of the remaining paper?
把边长为9厘米的正方形纸片，第一次剪去它的(1/3)，第二次剪去剩下的(1/2)，第三次再剪去剩下的(1/3)，第四次再剪去剩下的(1/2)…，按这种减法共剪去了8次，求剩下的纸片的面积是多少？
<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>

<gadget id="calculator">1 - (1/3)</gadget>
<output>2/3 = around 0.666667</output>

<gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>

<gadget id="calculator">1 - (1/2)</gadget>
<output>1/2 = around 0.5</output>

<gadget id="calculator">9 * 9 * (2/3) * (1/2) * (2/3) * (1/2) * (2/3) * (1/2) * (2/3) * (1/2)</gadget>
<output>1</output>

<result>1</result>