Simplify the Expression $$\sqrt [ 5 ] { x ^ { 19 } y ^ { 9 } z ^ { 13 } }$$

question 137

Multiple Choice

Simplify the expression. Assume all variables represent positive real numbers.
- $$\sqrt [ 5 ] { x ^ { 19 } y ^ { 9 } z ^ { 13 } }$$

• A) \(x ^ { 3 } y z ^ { 2 } \sqrt [ 5 ] { x ^ { 4 } y ^ { 4 } z ^ { 3 } }\)
• B) \(x ^ { 15 } y ^ { 5 } z ^{10} \sqrt [ 5 ] { x ^ { 4 } y ^ { 4 } z ^ { 3 } }\)
• C) \(x y z \sqrt [ 5 ] { x ^ { 4 } y ^ { 4 } z ^ { 3 } }\)
• D) \(x ^ { 3 } y z ^ { 2 } \sqrt [ 5 ] { y ^ { 4 } z ^ { 3 } }\)

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Definitions:

Compounded Monthly

A method of calculating interest where the accrued interest is added to the principal sum each month, so that each successive calculation includes interest on the interest.

RRSP

A Registered Retirement Savings Plan, which is a retirement savings and investing tool for employees and the self-employed in Canada.

Compounded Annually

Interest on an investment that is calculated once a year and added to the principal sum of the investment.

Compounded Monthly

Compounded Monthly means applying interest to both initial principal and the accumulated interest from previous periods on a monthly basis.