Use the Laws of Exponents to Simplify $\left( \frac { x ^ { 3 / 5 } } { y ^ { 1 / 2 } } \right) ^ { - 2 / 3 }$

question 29

Multiple Choice

Use the laws of exponents to simplify. Write the answer with positive exponents.
- $\left( \frac { x ^ { 3 / 5 } } { y ^ { 1 / 2 } } \right) ^ { - 2 / 3 }$

• A) \(\frac { x ^ { 2 / 5 } } { y ^ { 1 / 3 } }\)
• B) \(\frac { y ^ { 1 / 3 } } { x ^ { 2 / 5 } }\)
• C) \(\frac { y ^ { 2 / 5 } } { x ^ { 1 / 3 } }\)
• D) \(\frac { x ^ { 1 / 3 } } { y ^ { 2 / 5 } }\)

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Definitions:

Prebiotic Soup Hypothesis

A theory suggesting that life on Earth began in a "soup" of organic molecules, possibly in the oceans, facilitated by energy from sunlight or geothermal sources.

Fossil Record

The accumulation of evidence in rock layers about the history of life on Earth, including the remains or imprints of organisms from past geologic ages.

Homo Sapiens

Modern human species.

Quaternary

The most recent geological period, starting 2.58 million years ago and continuing to the present, characterized by ice ages and significant human evolution and development.