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15-\left(25-\left(10-2\right)^{3}\right)
Calculate -5 to the power of 2 and get 25.
15-\left(25-8^{3}\right)
Subtract 2 from 10 to get 8.
15-\left(25-512\right)
Calculate 8 to the power of 3 and get 512.
15-\left(-487\right)
Subtract 512 from 25 to get -487.
15+487
The opposite of -487 is 487.
502
Add 15 and 487 to get 502.