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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.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Comparing Factored Numbers - 2 Factors

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.

Choose the correct comparison operator

56⋅27⋅71    ◯    56⋅27⋅71<,>,or=?5^{6}\cdot2^{7}\cdot7^{1}\;\; \bigcirc \;\;5^{6}\cdot2^{7}\cdot7^{1}\\<, >, or = ?

Factoring - Comparing Factored Numbers - 2 Factors Worksheet

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Math worksheet on 'Factoring - Comparing Factored Numbers - 2 Factors (Level 2)'. Part of a broader unit on 'Factoring, Multiplication, Division, Fractions - Practice' Learn online: app.mobius.academy/math/units/factoring_multiplication_division_fractions_practice/
1
Choose the correct comparison operator
A LaTex expression showing 2 to the power of 7 times 7 to the power of 2 \;\; \bigcirc \;\;2 to the power of 7 times 7 to the power of 1 times 5 to the power of 1 \\<, >, or = ?
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2
Choose the correct comparison operator
A LaTex expression showing 3 to the power of 7 times 2 to the power of 7 \;\; \bigcirc \;\;3 to the power of 6 times 2 to the power of 7 times 5 to the power of 1 \\<, >, or = ?
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3
Choose the correct comparison operator
A LaTex expression showing 5 to the power of 6 times 2 to the power of 7 times 3 to the power of 1 \;\; \bigcirc \;\;5 to the power of 6 times 2 to the power of 6 times 3 to the power of 2 \\<, >, or = ?
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4
Choose the correct comparison operator
A LaTex expression showing 5 to the power of 7 times 7 to the power of 6 times 3 to the power of 1 \;\; \bigcirc \;\;5 to the power of 6 times 7 to the power of 8 \\<, >, or = ?
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5
Choose the correct comparison operator
A LaTex expression showing 3 to the power of 7 times 7 to the power of 1 times 5 to the power of 1 \;\; \bigcirc \;\;3 to the power of 8 times 5 to the power of 1 \\<, >, or = ?
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6
Choose the correct comparison operator
A LaTex expression showing 7 to the power of 7 times 5 to the power of 7 \;\; \bigcirc \;\;7 to the power of 6 times 5 to the power of 7 times 3 to the power of 1 \\<, >, or = ?
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b
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7
Choose the correct comparison operator
A LaTex expression showing 3 to the power of 6 times 2 to the power of 6 times 5 to the power of 1 times 7 to the power of 1 \;\; \bigcirc \;\;3 to the power of 6 times 2 to the power of 7 times 7 to the power of 1 \\<, >, or = ?
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=