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\left(\sqrt{15}+5-\sqrt{15}+5\right)^{8}
To find the opposite of \sqrt{15}-5, find the opposite of each term.
\left(5+5\right)^{8}
Combine \sqrt{15} and -\sqrt{15} to get 0.
10^{8}
Add 5 and 5 to get 10.
100000000
Calculate 10 to the power of 8 and get 100000000.