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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Exponents - Fractional Base (Expanded)
1
Find the answer when this fraction is multiplied as shown
A LaTex expression showing (4 over 7 ) times (4 over 7 )
a A LaTex expression showing 64 over 14
b A LaTex expression showing 8 over 9
c A LaTex expression showing 64 over 46
d A LaTex expression showing 8 over 343
e A LaTex expression showing 6 over 7
f A LaTex expression showing 16 over 49
2
Find the answer when this fraction is multiplied as shown
A LaTex expression showing (2 over 8 ) times (2 over 8 )
a A LaTex expression showing 1 over 8
b A LaTex expression showing 8 over 4,096
c A LaTex expression showing 1 over 16
d A LaTex expression showing 4 over 64
e A LaTex expression showing 1 over 512
f A LaTex expression showing 8
3
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 4
e A LaTex expression showing 343
f A LaTex expression showing 14 over 2
4
Find the answer when this fraction is multiplied as shown
A LaTex expression showing (6 over 8 ) times (6 over 8 )
a A LaTex expression showing 1,296 over 512
b A LaTex expression showing 216 over 67
c A LaTex expression showing 8 over 10
d A LaTex expression showing 6 over 16
e A LaTex expression showing 36 over 64
f A LaTex expression showing 216 over 10
5
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 64 over 25
b A LaTex expression showing 512 over 125
c A LaTex expression showing 67 over 7
d A LaTex expression showing 67 over 10
e A LaTex expression showing 16 over 10
f A LaTex expression showing 67 over 28
6
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 27 over 64
b A LaTex expression showing 9 over 12
c A LaTex expression showing 81 over 16
d A LaTex expression showing 9 over 256
e A LaTex expression showing 3 over 16
f A LaTex expression showing 81 over 12
7
Find the answer when this fraction is multiplied as shown
A LaTex expression showing (8 over 4 ) times (8 over 4 )
a A LaTex expression showing 8 over 64
b A LaTex expression showing 1 over 64
c A LaTex expression showing 512 over 8
d A LaTex expression showing 16 over 256
e A LaTex expression showing 64 over 16
f A LaTex expression showing 1 over 256
8
Find the answer when this fraction is multiplied as shown
A LaTex expression showing (3 over 2 ) times (3 over 2 ) times (3 over 2 )
a A LaTex expression showing 81 over 6
b A LaTex expression showing 3 over 6
c A LaTex expression showing 9 over 16
d A LaTex expression showing 24 over 32
e A LaTex expression showing 9 over 4
f A LaTex expression showing 27 over 8