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Exponents - Unit Fraction Base (Expanded) (Level 3)

This math topic focuses on practicing the computation of powers with unit fractions as bases. The problems involve repeated multiplications of unit fractions and require determining the resulting value under exponent rules. Each question presents a multiplication of fractions raised to various powers and provides multiple answers in fraction form to choose from. The exercises are embedded within a broader unit on exponents, particularly emphasizing fractional bases and introductory concepts related to exponents. This topic is designed to enhance understanding of how exponents work when applied to fractions in different multiplicative scenarios.

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

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Unit Fraction Base (Expanded)

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


Find the answer when this fraction is multiplied as shown

(13)â‹…(13)â‹…(13)â‹…(13)(\frac{1}{3}) \cdot (\frac{1}{3}) \cdot (\frac{1}{3}) \cdot (\frac{1}{3})

Exponents - Unit Fraction Base (Expanded) Worksheet

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Math worksheet on 'Exponents - Unit Fraction Base (Expanded) (Level 3)'. 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 6 ) times (1 over 6 ) times (1 over 6 )
a A LaTex expression showing 1 over 36
b A LaTex expression showing -2 over 6
c A LaTex expression showing 4 over 6
d A LaTex expression showing 1 over 213
e A LaTex expression showing 1 over 216
f A LaTex expression showing 4 over 1,296
2
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 ) times (1 over 2 ) times (1 over 2 )
a A LaTex expression showing 1 over 64
b A LaTex expression showing -2 over 7
c A LaTex expression showing 6 over 10
d A LaTex expression showing 1 over 7
e A LaTex expression showing 1 over 16
f A LaTex expression showing 1 over 32
3
Find the answer when this fraction is multiplied as shown
A LaTex expression showing (1 over 9 ) times (1 over 9 )
a A LaTex expression showing -2 over 6,561
b A LaTex expression showing 1 over 9
c A LaTex expression showing 1 over 11
d A LaTex expression showing 2 over 78
e A LaTex expression showing 1 over 81
f A LaTex expression showing 1 over 729
4
Find the answer when this fraction is multiplied as shown
A LaTex expression showing (1 over 5 ) times (1 over 5 ) times (1 over 5 )
a A LaTex expression showing 1 over 125
b A LaTex expression showing 4 over 15
c A LaTex expression showing 1 over 625
d A LaTex expression showing 1 over 5
e A LaTex expression showing 1 over 25
f A LaTex expression showing 1 over 122
5
Find the answer when this fraction is multiplied as shown
A LaTex expression showing (1 over 11 ) times (1 over 11 )
a A LaTex expression showing 1 over 14,641
b A LaTex expression showing 1 over 124
c A LaTex expression showing 2 over 1,331
d A LaTex expression showing 1
e A LaTex expression showing 1 over 121
f A LaTex expression showing -2 over 11
6
Find the answer when this fraction is multiplied as shown
A LaTex expression showing (1 over 10 ) times (1 over 10 )
a A LaTex expression showing 2 over 1,000
b A LaTex expression showing 1 over 20
c A LaTex expression showing 1 over 100
d A LaTex expression showing 2 over 20
e A LaTex expression showing 2 over 10,000
f A LaTex expression showing 3 over 1,000
7
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 ) times (1 over 3 )
a A LaTex expression showing 1 over 12
b A LaTex expression showing 4 over 27
c A LaTex expression showing 1 over 7
d A LaTex expression showing 1 over 81
e A LaTex expression showing 1 over 27
f A LaTex expression showing 4 over 243