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Factoring - Comparing Factored Numbers - 2 Factors (Level 2)

This math topic focuses on factoring and comparing factored numbers with two factors. It is part of a broader unit that includes practice on factoring, multiplication, division, and fractions. The problems primarily involve choosing the correct comparison operator (less than, greater than, or equal to) to compare two expressions, each consisting of powers of integers. The exercises are designed to enhance understanding of exponentiation and factor comparison skills while deepening the students' understanding of number relationships. Each question presents two numeric expressions with exponents for comparison.

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Comparing Factored Numbers - 2 Factors

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Choose the correct comparison operator

37⋅52    ◯    37⋅71⋅51<,>,or=?3^{7}\cdot5^{2}\;\; \bigcirc \;\;3^{7}\cdot7^{1}\cdot5^{1}\\<, >, or = ?