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Exponents - Unit Fraction Base (Expanded) (Level 2)

This math topic deals with the concept of exponents, specifically focusing on unit fraction bases applied in expanded forms. It explores the skills of multiplying fractions with exponents, where the bases are unit fractions (fractions with a numerator of 1). The problems require calculating the products of various fractional bases raised to different powers to determine the resultant fraction. Through multiple-choice questions, it enhances students' understanding of expressing repeated multiplication of fractions in exponential form and simplifying them. This is part of a larger unit on fractional bases and an introduction to exponents.

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

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Unit Fraction Base (Expanded)

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Find the answer when this fraction is multiplied as shown

(17)â‹…(17)(\frac{1}{7}) \cdot (\frac{1}{7})

Exponents - Unit Fraction Base (Expanded) Worksheet

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Math worksheet on 'Exponents - Unit Fraction 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 (1 over 3 ) times (1 over 3 ) times (1 over 3 )
a A LaTex expression showing 1 over 9
b A LaTex expression showing 3 over 24
c A LaTex expression showing 4 over 9
d A LaTex expression showing 4 over 81
e A LaTex expression showing 1 over 243
f A LaTex expression showing 1 over 27
2
Find the answer when this fraction is multiplied as shown
A LaTex expression showing (1 over 7 ) times (1 over 7 )
a A LaTex expression showing 2 over 343
b A LaTex expression showing 1 over 9
c A LaTex expression showing 3 over 14
d A LaTex expression showing 1 over 49
e A LaTex expression showing 1 over 2,401
f A LaTex expression showing 1 over 14
3
Find the answer when this fraction is multiplied as shown
A LaTex expression showing (1 over 4 ) times (1 over 4 ) times (1 over 4 )
a A LaTex expression showing 1 over 64
b A LaTex expression showing -2 over 4
c A LaTex expression showing 1 over 16
d A LaTex expression showing -2 over 16
e A LaTex expression showing 3 over 256
f A LaTex expression showing 4 over 12
4
Find the answer when this fraction is multiplied as shown
A LaTex expression showing (1 over 8 ) times (1 over 8 )
a A LaTex expression showing 1 over 64
b A LaTex expression showing 2 over 16
c A LaTex expression showing 1 over 10
d A LaTex expression showing 1 over 512
e A LaTex expression showing 2 over 4,096
f A LaTex expression showing 2 over 8
5
Find the answer when this fraction is multiplied as shown
A LaTex expression showing (1 over 2 ) times (1 over 2 ) times (1 over 2 )
a A LaTex expression showing 1 over 6
b A LaTex expression showing 1 over 4
c A LaTex expression showing 1 over 5
d A LaTex expression showing 1 over 8
e A LaTex expression showing 1 over 11
f A LaTex expression showing 1 over 2