Perform the Indicated Operations $$\left( \frac { y ^ { - 8 / 5 } } { b ^ { - 3 / 2 } } \right) ^ { 4 } \left( \frac { b ^ { 1 / 5 } } { y ^ { 1 / 4 } } \right) ^ { - 2 }$$

question 348

Multiple Choice

Perform the indicated operations. Write the answer using only positive exponents. Assume all variables represent
positive real numbers.
- $$\left( \frac { y ^ { - 8 / 5 } } { b ^ { - 3 / 2 } } \right) ^ { 4 } \left( \frac { b ^ { 1 / 5 } } { y ^ { 1 / 4 } } \right) ^ { - 2 }$$

• A) \(\frac { \mathrm { y } ^ { 59 / 10 } } { \mathrm {~b} ^ { 28 / 5 } }\)
• B) \(\frac { b ^ { 28 / 5 } } { y ^ { 59 / 10 } }\)
• C) \(\frac { y ^ { 69 / 10 } } { b ^ { 32 / 5 } }\)
• D) \(\frac { b ^ { 32 / 5 } } { y ^ { 69 / 10 } }\)

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Definitions:

High-low Method

A technique used in managerial accounting to estimate fixed and variable costs by analyzing the highest and lowest levels of activity and the associated costs.

Variable Cost

A cost that varies directly with the level of production or volume, such as materials and labor directly involved in the production process.

Least-squares Method

A statistical technique used to determine the line of best fit by minimizing the sum of the squares of the differences between observed and estimated values.

High-low Method

A technique used in cost accounting to determine the variable and fixed components of a cost by analyzing the highest and lowest levels of activity.