Use Properties of Rational Exponents to Simplify the Expression $\left( y ^ { - 7 / 8 } \right) ^ { - 1 / 3 }$

question 59

Multiple Choice

Use properties of rational exponents to simplify the expression. Assume that any variables represent positive numbers.
- $\left( y ^ { - 7 / 8 } \right) ^ { - 1 / 3 }$

• A) \(\frac { 1 } { y ^ { 29 / 24 } }\)
• B) \(y ^ { 7 / 24 }\)
• C) \(\frac { 1 } { y ^ { 7 / 24 } }\)
• D) \(\mathrm { y } ^ { 29 / 24 }\)

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Definitions:

Exchange Rate

is the value of one currency for the purpose of conversion to another.

Euro

The recognized form of money in the eurozone, utilized by 19 of the 27 countries that are part of the European Union.

Nominal Exchange Rate

The exchange rate at which the currency of one nation can be exchanged for the currency of another nation, without considering inflation adjustments.

Purchasing-Power Parity

An economic theory that compares different countries' currencies through a basket of goods approach, to evaluate the relative purchasing power.