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\frac{z^{2}-16}{z-4^{1}}
Calculate z to the power of 1 and get z.
\frac{z^{2}-16}{z-4}
Calculate 4 to the power of 1 and get 4.
\frac{\left(z-4\right)\left(z+4\right)}{z-4}
Factor the expressions that are not already factored.
z+4
Cancel out z-4 in both numerator and denominator.
\frac{z^{2}-16}{z-4^{1}}
Calculate z to the power of 1 and get z.
\frac{z^{2}-16}{z-4}
Calculate 4 to the power of 1 and get 4.
\frac{\left(z-4\right)\left(z+4\right)}{z-4}
Factor the expressions that are not already factored.
z+4
Cancel out z-4 in both numerator and denominator.