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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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here it is. @kieran01pd2016
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use the rule of indices (x^a)^b = x^(ab)
Bascially, when you put an exponent on an exponent they multiply. So if you have (2^2)^3, it is the same as writing 2^6. Therefore, in this case, what times -5 would give you -15
in your problem the exponent multiplies the -5 to get -15
If we apply the rule of power of power, we can write this: \[\Large {\left( {{2^{ - 5}}} \right)^N} = {2^{ - 5 \cdot N}} = {2^{ - 15}}\] and then we have to solve this equation: \[\Large - 5 \cdot N = - 15\] please solve that equation for N
so...what you're saying is that 3 will be the answer? (accordinng to my work)
correct! it is N=3
Whoop! thanks

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