Fractional Base (Expanded) (Level 2)

This math topic focuses on practicing the multiplication of fractional bases raised to exponents, showcasing various problems where two fractions are multiplied. Each question presents a different pair of fractional expressions, with multiple-choice answers that demonstrate the expanded form of these exponents when calculated. The topic is intended to reinforce understanding of operations with fractions in the context of exponents, helping to build foundational skills in handling powers and roots of fractional numbers.

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

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Exponents - Fractional Base (Expanded) Worksheet

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Math worksheet on 'Exponents - Fractional Base (Expanded) (Level 2)'. Part of a broader unit on 'Exponents - Fractional Bases and Exponents - Intro' Learn online: app.mobius.academy/math/units/exponents_fractional_bases_and_exponents_intro/
1
Find the answer when this fraction is multiplied as shown
A LaTex expression showing (7 over 3 ) times (7 over 3 )
a A LaTex expression showing 343 over 6
b A LaTex expression showing 9 over 3
c A LaTex expression showing 1 over 5
d A LaTex expression showing 343 over 12
e A LaTex expression showing 52 over 12
f A LaTex expression showing 49 over 9
2
Find the answer when this fraction is multiplied as shown
A LaTex expression showing (3 over 4 ) times (3 over 4 ) times (3 over 4 )
a A LaTex expression showing 9 over 12
b A LaTex expression showing 9 over 256
c A LaTex expression showing 81 over 16
d A LaTex expression showing 27 over 64
e A LaTex expression showing 3 over 16
f A LaTex expression showing 81 over 12
3
Find the answer when this fraction is multiplied as shown
A LaTex expression showing (4 over 3 ) times (4 over 3 ) times (4 over 3 )
a A LaTex expression showing 256 over 9
b A LaTex expression showing 7 over 9
c A LaTex expression showing 16 over 81
d A LaTex expression showing 16 over 9
e A LaTex expression showing 256 over 6
f A LaTex expression showing 64 over 27
4
Find the answer when this fraction is multiplied as shown
A LaTex expression showing (8 over 5 ) times (8 over 5 )
a A LaTex expression showing 512 over 125
b A LaTex expression showing 67 over 10
c A LaTex expression showing 16 over 10
d A LaTex expression showing 64 over 25
e A LaTex expression showing 67 over 28
f A LaTex expression showing 67 over 7
5
Find the answer when this fraction is multiplied as shown
A LaTex expression showing (8 over 3 ) times (8 over 3 )
a A LaTex expression showing 67
b A LaTex expression showing 512 over 6
c A LaTex expression showing 16 over 27
d A LaTex expression showing 64 over 9
e A LaTex expression showing 1 over 12
f A LaTex expression showing 16 over 3
6
Find the answer when this fraction is multiplied as shown
A LaTex expression showing (7 over 2 ) times (7 over 2 )
a A LaTex expression showing 7 over 4
b A LaTex expression showing 2,401 over 4
c A LaTex expression showing 49 over 4
d A LaTex expression showing 14 over 2
e A LaTex expression showing 343
f A LaTex expression showing 14 over 4
7
Find the answer when this fraction is multiplied as shown
A LaTex expression showing (8 over 7 ) times (8 over 7 )
a A LaTex expression showing 512 over 343
b A LaTex expression showing 64 over 49
c A LaTex expression showing 1
d A LaTex expression showing 16
e A LaTex expression showing 1 over 7
f A LaTex expression showing 8 over 14
Exponents - Fractional Base (Expanded) (Level 2) - Mobius Math