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1+\left(-2\right)^{6}\times 4^{-1}-\left(-2\right)^{1}
Calculate 2 to the power of 0 and get 1.
1+64\times 4^{-1}-\left(-2\right)^{1}
Calculate -2 to the power of 6 and get 64.
1+64\times \frac{1}{4}-\left(-2\right)^{1}
Calculate 4 to the power of -1 and get \frac{1}{4}.
1+16-\left(-2\right)^{1}
Multiply 64 and \frac{1}{4} to get 16.
17-\left(-2\right)^{1}
Add 1 and 16 to get 17.
17-\left(-2\right)
Calculate -2 to the power of 1 and get -2.
17+2
The opposite of -2 is 2.
19
Add 17 and 2 to get 19.