Simplify Assume That Variables in the Exponent Represent Nonzero Integers $x ^ { - 4 z } \cdot x ^ { 3 z } \cdot x ^ { 9 z + 2 }$

question 58

Multiple Choice

Simplify. Assume that variables in the exponent represent nonzero integers and that all other variables are not 0.
- $x ^ { - 4 z } \cdot x ^ { 3 z } \cdot x ^ { 9 z + 2 }$

• A) \(x ^ { 8 z } + 2\)
• B) \(z x ^ { - 108 z + 2 }\)
• C) \(x ^ { - 108 z + 2 }\)
• D) \(z x ^ { 8 z + 2 }\)

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Definitions:

Virtual Memory

A memory management technique that creates an illusion of a very large memory area using both hardware and software, extending beyond physical memory.

Kernel

The core component of a computer's operating system that manages system resources and facilitates communication between hardware and software components.

Paging

The process of swapping data or instructions that have been placed in the swap file for later use back into active random access memory (RAM). The contents of the hard drive’s swap file then become less active data or instructions.

Swap File

A file on a computer's hard drive used to provide additional virtual memory by storing data that is not currently being used in RAM.