Solution:
The expression in the image shows $$z^8$$ multiplied by $$\frac{1}{z^7}$$.To simplify this expression, you can use the property of exponents that states when dividing like bases, you subtract the exponents:$$z^8 \cdot \frac{1}{z^7} = \frac{z^8}{z^7} = z^{8-7} = z^1 = z$$So the simplified form of the expression is $$z$$.