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45% (00:12) wrong based on 110 sessions

Quantity A

Quantity B

\((0.82)^2 (0.82)^3\)

\((0.82)^6\)

A) Quantity A is greater. B) Quantity B is greater. C) The two quantities are equal. D) The relationship cannot be determined from the information given.

correct: A (0.82)^2 * (0.82)^3 = (0.82)^5 and (0.82)^6 is less than (0.82) because 0.82 is less than 1 and any number morever multiplied by a number than 1, will reduce. A is bigger than B. _________________

A) Quantity A is greater. B) Quantity B is greater. C) The two quantities are equal. D) The relationship cannot be determined from the information given.

We can solve this question using matching operations Given: Quantity A: \((0.82)^2 (0.82)^3\) Quantity B: \((0.82)^6\)

Simplify Quantity A to get: Quantity A: (0.82)^5 Quantity B: (0.82)^6

Divide both quantities (0.82)^5 to get: Quantity A: 1 Quantity B: (0.82)^1

In other words: Quantity A: 1 Quantity B: 0.82

Answer: A

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