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

question 24

Multiple Choice

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

• A) \(\frac { y ^ { 9 / 10 } } { x ^ { 1 / 9 } }\)
• B) \(\frac { y ^ { 9 / 10 } } { x ^ { 2 / 3 } }\)
• C) \(x y ^ { 21 / 10 }\)
• D) \(y ^ { 21 / 10 }\)

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Definitions:

Spermarche

The beginning of development of sperm in boys’ testicles at puberty, marking the onset of adolescent fertility.

Testes

The male reproductive glands that produce sperm and the hormone testosterone.

XY

A chromosomal designation for male sex in many organisms, including humans, where males typically have one X and one Y chromosome.

SRY Gene

A sex-determining gene on the Y chromosome that triggers the development of male anatomical features.