Rationalize the Denominator and Simplify $\frac { 7 } { \sqrt [ 4 ] { a ^ { 3 } } }$

question 266

Multiple Choice

Rationalize the denominator and simplify. Assume that all variables represent positive real numbers.
- $\frac { 7 } { \sqrt [ 4 ] { a ^ { 3 } } }$

• A) \(\frac { 7 \sqrt [ 4 ] { a } } { a }\)
• B) \(7 \sqrt [ 4 ] { a }\)
• C) \(\frac { 7 \sqrt [ 4 ] { a ^ { 3 } } } { a }\)
• D) \(\frac { 7 \sqrt [ 4 ] { a ^ { 2 } } } { a }\)

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Definitions:

Quarterly Compounded

Interest that is calculated and added to the principal every three months, increasing the amount on which subsequent interest calculations are based.

Quarterly Compounded

Refers to the calculation of interest that is added to the principal balance of an investment or loan four times a year.

Equivalent Effective Rate

A comparable interest rate that equates the interest earned on different investments or loans over the same time period, taking into account the effects of compounding.

Face Value

The original value of a financial instrument as stated on the instrument itself, without accounting for interest or market value fluctuations.