Use the Laws of Exponents to Simplify Each Expression Using $x ^ { 9 } x ^ { - 6 }$

question 135

Multiple Choice

Use the laws of exponents to simplify each expression using positive exponents only. Assume all variables represent nonzero real numbers.
- $x ^ { 9 } x ^ { - 6 }$

• A) \(- x ^ { 3 }\)
• B) \(- \frac { 1 } { x ^ { 3 } }\)
• C) \(x ^ { 3 }\)
• D) \(\frac { 1 } { \mathrm { x } ^ { 3 } }\)

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Definitions:

Variance

A statistical measure of the dispersion of returns for a given security or market index, indicating the degree of volatility.

Portfolio Diversification

The practice of investing across different financial assets to reduce risk by spreading exposure.

Systematic Risk

The risk inherent to the entire market or market segment, which cannot be reduced through diversification.

Total Risk

The complete range of risks involved in an investment, encompassing both systematic and unsystematic risks.