Simplify the Expression $\sqrt [ 5 ] { \mathrm { x } ^ { 19 } \mathrm { y } ^ { 7 } \mathrm { z } ^ { 13 } }$

question 111

Multiple Choice

Simplify the expression. Assume all variables represent positive real numbers.
- $\sqrt [ 5 ] { \mathrm { x } ^ { 19 } \mathrm { y } ^ { 7 } \mathrm { z } ^ { 13 } }$

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

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Definitions:

Saving Account

A type of bank account where money is deposited to earn interest over time.

Decimal Places

The tally of numbers present right of the decimal point in a given number.

Annual Interest Rate

The percentage rate charged or paid over a period of one year for a loan or investment.

Compounds Interest Continuously

The process of calculating interest on both the initial principal and the accumulated interest from previous periods, assumed to be compounded infinitely often per period.