Multiply and Simplify Where Possible $54,880 \sqrt [ 3 ] { 3 }$

question 104

Multiple Choice

Multiply and simplify where possible. Match each of the expressions with the expression to obtain a true statement.
- $54,880 \sqrt [ 3 ] { 3 }$

• A) \(( 14 \sqrt [ 3 ] { 196 } ) ( 20 \sqrt [ 3 ] { 14 } )\)
• B) \(( 196 \sqrt [ 3 ] { 3 } ) ( 20 \sqrt [ 3 ] { 9 } )\)
• C) \(( 196 \sqrt [ 3 ] { 42 } ) ( 20 \sqrt [ 3 ] { 196 } )\)
• D) \(( 9 \sqrt [ 3 ] { 42 } ) ( 14 \sqrt [ 3 ] { 9 } )\)

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Definitions:

PKU

Phenylketonuria, a genetic disorder leading to the buildup of phenylalanine in the body, causing intellectual disability and other health issues if untreated.

Congenital Hypothyroidism

A condition present at birth where the thyroid gland doesn't produce enough thyroid hormone, leading to growth and developmental delays.

Phenylketonuria

A genetic disorder characterized by an inability to metabolize the amino acid phenylalanine, leading to brain and developmental issues.

Phenylalanine

An essential amino acid that is a precursor to neurotransmitters including dopamine, norepinephrine, and epinephrine.