Use the Laws of Exponents to Simplify Each Expression Using $\frac { x ^ { 2 } y ^ { - 2 } } { z ^ { - 3 } }$

question 9

Multiple Choice

Use the laws of exponents to simplify each expression using positive exponents only. Assume all variables represent nonzero real numbers.
- $\frac { x ^ { 2 } y ^ { - 2 } } { z ^ { - 3 } }$

• A) \(\frac { x ^ { 2 } z ^ { 3 } } { y ^ { 2 } }\)
• B) \(\frac { x ^ { 2 } z ^ { 2 } } { y ^ { 3 } }\)
• C) \(\frac { z ^ { 3 } } { x ^ { 2 } y ^ { 2 } }\)
• D) \(\frac { y ^ { 2 } } { x ^ { 2 } z ^ { 3 } }\)

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Definitions:

Depreciation Expense

The systematic allocation of the cost of a tangible asset over its useful life, reflecting the asset's consumption, wear and tear, or obsolescence.

Salvage Value

An estimate of the residual value of an asset at the end of its useful life, after it has been fully depreciated.

Book Value

The net value of a company's assets found on its balance sheet, often calculated as total assets minus intangible assets and liabilities.

Straight-line Method

A method of calculating depreciation which spreads the cost of an asset evenly across its useful life.