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Factoring - Comparing Factored Numbers - 3 Factors (Level 2)

This topic focuses on practicing how to compare expressions involving products of numbers raised to different powers. Specifically, it aims to develop skills in identifying the correct comparison operator (less than, greater than, or equal to) when analyzing expressions that include three factors, each expressed in exponential form. The problems emphasize critical thinking and understanding of multiplication, division, and basic number properties as part of a broader study of factoring and fractions.

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

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Comparing Factored Numbers - 3 Factors

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


Choose the correct comparison operator

76⋅27⋅37    ◯    77⋅26⋅36⋅51<,>,or=?7^{6}\cdot2^{7}\cdot3^{7}\;\; \bigcirc \;\;7^{7}\cdot2^{6}\cdot3^{6}\cdot5^{1}\\<, >, or = ?

Factoring - Comparing Factored Numbers - 3 Factors Worksheet

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Math worksheet on 'Factoring - Comparing Factored Numbers - 3 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 5 to the power of 7 times 3 to the power of 7 times 7 to the power of 1 \;\; \bigcirc \;\;5 to the power of 6 times 3 to the power of 9 \\<, >, or = ?
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b
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=
2
Choose the correct comparison operator
A LaTex expression showing 2 to the power of 8 times 7 to the power of 6 times 5 to the power of 1 \;\; \bigcirc \;\;2 to the power of 7 times 7 to the power of 6 times 3 to the power of 1 times 5 to the power of 1 \\<, >, or = ?
a
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b
>
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=
3
Choose the correct comparison operator
A LaTex expression showing 2 to the power of 7 times 5 to the power of 6 times 3 to the power of 2 \;\; \bigcirc \;\;2 to the power of 7 times 5 to the power of 7 times 3 to the power of 1 \\<, >, or = ?
a
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b
>
c
=
4
Choose the correct comparison operator
A LaTex expression showing 3 to the power of 6 times 7 to the power of 6 times 2 to the power of 8 \;\; \bigcirc \;\;3 to the power of 6 times 7 to the power of 7 times 2 to the power of 7 \\<, >, or = ?
a
<
b
>
c
=
5
Choose the correct comparison operator
A LaTex expression showing 3 to the power of 8 times 2 to the power of 6 times 5 to the power of 1 \;\; \bigcirc \;\;3 to the power of 7 times 2 to the power of 8 \\<, >, or = ?
a
<
b
>
c
=
6
Choose the correct comparison operator
A LaTex expression showing 2 to the power of 7 times 5 to the power of 7 times 3 to the power of 1 \;\; \bigcirc \;\;2 to the power of 8 times 5 to the power of 6 times 3 to the power of 1 \\<, >, or = ?
a
<
b
>
c
=
7
Choose the correct comparison operator
A LaTex expression showing 2 to the power of 7 times 7 to the power of 7 times 3 to the power of 1 \;\; \bigcirc \;\;2 to the power of 8 times 7 to the power of 6 times 5 to the power of 1 \\<, >, or = ?
a
<
b
>
c
=