Find the Given Power $( - 5 \sqrt { 2 } + 5 \sqrt { 2 } i ) ^ { 3 }$

question 107

Multiple Choice

Find the given power. Write answer in rectangular form.
- $( - 5 \sqrt { 2 } + 5 \sqrt { 2 } i ) ^ { 3 }$

• A) \(500 \sqrt { 2 } + 500 \sqrt { 2 } i\)
• B) \(50 \sqrt { 2 } + 50 \sqrt { 2 } i\)
• C) \(5 \sqrt { 2 } + 5 \sqrt { 2 } i\)
• D) \(15 \sqrt { 2 } + 15 \sqrt { 2 } i\)

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Definitions:

Real GDP

Gross Domestic Product adjusted for inflation, representing the total value of all goods and services produced over a specific time period in real terms.

Money in Circulation

The total amount of physical currency, including coins and paper money, actively used in the economy.

Velocity

The rate at which money is exchanged from one transaction to another and how much a unit of currency is used in a given period.

Aggregate Demand-Aggregate Supply Model

A macroeconomic model that explains price levels and the output levels of an economy through the relationship between aggregate demand and aggregate supply.