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Hopefully this will help u
Here, we are required to determine how many <em>perfect cube divisors</em> <em>160,000</em> has.
160,000 has three(3) perfect cube divisors namely;. 8, 8 and 125
To determine how many perfect cube divisors 160,000 has;
We first need to highlight the <em>factors</em> of 160,000 as follows;
<em>(2 × 2 × 2) × (2 × 2 × 2) × 2 × 2 × (5 × 5 × 5) × 5</em>
As such, the product of numbers in each bracket yield a perfect cube; the expression above then becomes;
<em>2 × 2 × 5</em> × 8 × 8 × 125.
Therefore, 160,000 has three(3) perfect cube divisors namely;. 8, 8 and 125
Read more:
brainly.com/question/4546168
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I hope that helps.