Simplify the Expression $\left( 4 x ^ { 4 } \right) ^ { \frac { 3 } { 2 } }$

question 313

Multiple Choice

Simplify the expression. All variables represent positive real numbers. $\left( 4 x ^ { 4 } \right) ^ { \frac { 3 } { 2 } }$

• A) \(\left( 2 x ^ { 2 } \right) ^ { 3 }\)
• B) \(8 \left( x ^ { 4 } \right) ^ { \frac { 3 } { 2 } }\)
• C) \(8 x ^ { 6 }\)
• D) \(8 x ^ { 12 }\)
• E) \(8 x ^ { 2 }\)

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Definitions:

Inflation Expectations

The rate at which consumers, businesses, and investors expect prices to rise in the future.

Phillips Curve

A macroeconomic theory that suggests unemployment and inflation have a stable and inverse relationship, indicating trade-offs short-term policy-making.

Disinflation

A reduction in the rate of inflation, indicating a slowdown in the rate at which prices are rising.

Money Supply Growth

The rate at which the total amount of money available in an economy changes over a specific period of time.