Use the Product Rule to Multiply $\sqrt [ 4 ] { 7 x ^ { 3 } } \cdot \sqrt [ 4 ] { 1000 }$

question 240

Multiple Choice

Use the product rule to multiply. Assume all variables represent positive real numbers.
- $\sqrt [ 4 ] { 7 x ^ { 3 } } \cdot \sqrt [ 4 ] { 1000 }$

• A) \(100 x ^ { 2 }\)
• B) \(\sqrt [ 4 ] { 7000 x ^ { 3 } }\)
• C) \(\sqrt { 7000 x ^ { 3 } }\)
• D) \(7000 \mathrm { x } ^ { 3 }\)

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Definitions:

Reaction

The process by which reactants undergo a conversion resulting in one or more distinct substances, these end products.

2-phenylethanamine

An organic chemical compound with the formula C8H11N, acting as a primary amine with a phenyl substituent.

2-phenylethanol

An aromatic alcohol with a floral fragrance, represented by the chemical formula C8H10O, commonly found in essential oils.

Major Organic Product

The primary substance produced in the highest yield in an organic reaction when there are multiple possible products.