The expression which represents the simplified form of the given expression; x to the 4 power x z to the 5 power over xz to the 6 power as in the task content is; 1/x²z.
According to the task content, it follows that the given expression in the task content is; x⁴z⁵/(xz)⁶.
Hence, the expression can be simplified by means of the laws of indices as follows;
x^(4-6) z^(5-6)
= x-²z-¹
= 1/x²z.
Ultimately, the expression which represents the simplified form of the given expression; x to the 4 power x z to the 5 power over xz to the 6 power as in the task content is; 1/x²z.
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