Simplify the Following Algebraic Expression and Express Your Answer Using $\left( \frac { 20 y ^ { 5 } } { 5 y ^ { - 2 } } \right) ^ { - 1 }$

question 225

Multiple Choice

Simplify the following algebraic expression and express your answer using positive exponents only. $\left( \frac { 20 y ^ { 5 } } { 5 y ^ { - 2 } } \right) ^ { - 1 }$

• A) \(\frac { 1 } { 4 y ^ { 7 } }\)
• B) \(\frac { 4 } { y ^ { 7 } }\)
• C) \(\frac { 1 } { 4 y ^ { 3 } }\)
• D) \(4 y ^ { 3 }\)
• E) \(4 y ^ { 7 }\)

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Definitions:

Natural Log

The logarithm to the base \(e\) (where \(e\) is approximately 2.718), a constant used in mathematics and economics to model growth processes.

Lottery Ticket

A slip of paper or card used to participate in a lottery game, where winners are typically selected by a random draw.

Risk Averse

A preference for certainty over uncertainty with regards to outcomes, particularly in the context of financial decisions.

Probability

A measure of the likelihood of a particular event occurring, ranging from 0 (impossible) to 1 (certain).