Use Rational Exponents to Simplify $\sqrt [ 15 ] { \mathrm { x } ^ { 12 } \mathrm { y } ^ { 9 } }$

question 58

Multiple Choice

Use rational exponents to simplify. Assume that all variables represent positive real numbers.
- $\sqrt [ 15 ] { \mathrm { x } ^ { 12 } \mathrm { y } ^ { 9 } }$

• A) \(\sqrt [ 5 ] { x ^ { 4 } y }\)
• B) \(\sqrt [ 3 ] { x ^ { 4 } y ^ { 3 } }\)
• C) \(\sqrt [ 5 ] { x ^ { 4 } y ^ { 3 } }\)
• D) \(\sqrt [ 5 ] { x y ^ { 3 } }\)

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Definitions:

Symbols

Marks, signs, or objects that represent ideas, concepts, or other abstractions.

Logical Reasoning

The process of using a rational, systematic series of steps based on sound mathematical procedures and given statements to arrive at a conclusion.

Egocentrism

A developmental phase where an individual is unable to differentiate between their own perspective and that of others, commonly seen in early childhood.

Animism

The belief that natural objects and phenomena are alive, moving around, with sensations and abilities that are humanlike.