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\left(-2\right)^{4}-\left(-2\right)^{13}
To multiply powers of the same base, add their exponents. Add 6 and 7 to get 13.
16-\left(-2\right)^{13}
Calculate -2 to the power of 4 and get 16.
16-\left(-8192\right)
Calculate -2 to the power of 13 and get -8192.
16+8192
The opposite of -8192 is 8192.
8208
Add 16 and 8192 to get 8208.