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) \(\sqrt [ 5 ] { x y ^ { 3 } }\)

---

Definitions:

Own Emotions

An individual's personal feelings or affective states.

Fake Expressions

Facial expressions that are deliberately made to convey a particular emotion that is not genuinely felt by the person making the expression.

Real Emotions

Genuine feelings that reflect one's true emotional state, as opposed to feigned or suppressed emotions.

Facial Expressions

The movements of the face that convey emotional states, intentions, or reactions to stimuli.