Rationalize the Denominator and Simplify $\sqrt [ 4 ] { \frac { 81 } { 121 x ^ { 9 } } }$

question 220

Multiple Choice

Rationalize the denominator and simplify. Assume that all variables represent positive real numbers.
- $\sqrt [ 4 ] { \frac { 81 } { 121 x ^ { 9 } } }$

• A) \(\frac { 3 \sqrt [ 4 ] { 121 x ^ { 3 } } } { 11 x ^ { 3 } }\)
• B) \(\frac { 3 \sqrt [ 4 ] { 121 x ^ { 3 } } } { 11 x ^ { 2 } }\)
• C) \(\frac { 3 \sqrt [ 4 ] { 121 x } } { 11 x ^ { 3 } }\)
• D) \(\frac { 3 \sqrt [ 4 ] { 121 x } } { 11 x ^ { 2 } }\)

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Definitions:

Face Value

The nominal or dollar value printed on a security or currency, indicating its legal worth.

Coupon Rate

The annual interest rate paid by a bond's issuer to its holders, usually expressed as a percentage of the bond's face value.

Yield

The income return on an investment, such as the interest or dividends received, expressed as an annual percentage.

Coupon Rate

Interest rate on a bond paid each year, represented as a percentage of its face value.