5th_rt(0.00032) = 5th_rt(25/2555) = 5th_rt(1/55) = 1/5 = 0.2
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To simplify the 5th root of 0.00032, you first need to express 0.00032 as a fraction by moving the decimal point five places to the right, which gives you 32/100000. The 5th root of 32 is 2, and the 5th root of 100000 is 10. Therefore, the simplified form of the 5th root of 0.00032 is 2/10, which simplifies further to 1/5.