Note: your teacher will grade your response to ensure you receive proper credit for your answer.
list three different ways to write 511 as the product of two powers. explain why all three of your expressions are equal to 511.

5^11 = 5^3 * 5^8

5^11 = 5^0 * 5^11

5^11 = 5^-4 * 5^15

Step-by-step explanation:

These expressions equal 511 because each of them are the product of two powers that equal 511.

step-by-step explanation:

geometry: triangles

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call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

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