What is the value of the expression 7^2 / 3^4?

Prepare for the PHFO Quantitative Analysis For Business Exam. Study with flashcards, multiple choice questions, hints, and explanations to ensure confidence and success in your exam!

Multiple Choice

What is the value of the expression 7^2 / 3^4?

Explanation:
Evaluating an expression with exponents that have different bases means compute each power exactly and form the ratio. Here, 7^2 equals 49 and 3^4 equals 81. So the expression is 49/81. This is the exact value, and in decimal form it’s about 0.6049. The decimal options 0.3, 0.6, and 0.8 don’t match the exact value, while the fraction 49/81 does.

Evaluating an expression with exponents that have different bases means compute each power exactly and form the ratio. Here, 7^2 equals 49 and 3^4 equals 81. So the expression is 49/81. This is the exact value, and in decimal form it’s about 0.6049. The decimal options 0.3, 0.6, and 0.8 don’t match the exact value, while the fraction 49/81 does.

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