Simplify the Expression $$\sqrt { 14 m ^ { 5 } } \cdot \sqrt { 7 m ^ { 17 } }$$

question 347

Multiple Choice

Simplify the expression. Assume all variables represent positive real numbers.
- $$\sqrt { 14 m ^ { 5 } } \cdot \sqrt { 7 m ^ { 17 } }$$

• A) \(7 m ^ { 12 }\)
• B) \(14 m ^ { 8 } \sqrt { 7 }\)
• C) \(7 m ^ { 11 } \sqrt { 2 }\)
• D) \(7 \mathrm {~m} ^ { 10 } \sqrt { 2 }\)

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Definitions:

NPV

Net Present Value, a calculation used to determine the present value of an investment's expected future cash flows compared to its initial cost.

Internal Rate

Refers to the internal rate of return (IRR), a financial metric used to estimate the profitability of potential investments.

Cash Flows

The entire sum of funds moving into and exiting a business, particularly impacting its liquidity and comprehensive financial well-being.

Payback Period

The length of time required to recover the cost of an investment, calculated by dividing the initial investment by the annual cash flow.