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Exponent

Power Law with Composite Base (Negatives, Expanded Fraction to Fraction with Power) (Level 1)

This math topic focuses on practicing the power law of exponents, particularly with composite bases that include negative and fractional expressions. Problems involve multiplying terms with powers and finding simplified expressions with exponents, using fractional bases such as \( \frac{1}{77}, \frac{1}{35}, \frac{1}{55}, \frac{1}{22}, \frac{1}{15} \). Each question provides multiple choices for students to select the correct simplified outcome of the multiplication of terms with exponents.

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

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Power Law with Composite Base (Negatives, Expanded Fraction to Fraction with Power)

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

Find the answer when these terms are multiplied

1143⋅1143⋅1143⋅1143\frac{1}{14^{3}} \cdot \frac{1}{14^{3}} \cdot \frac{1}{14^{3}} \cdot \frac{1}{14^{3}}

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Exponents - Power Law with Composite Base (Negatives, Expanded Fraction to Fraction with Power) Worksheet

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Math worksheet on 'Exponents - Power Law with Composite Base (Negatives, Expanded Fraction to Fraction with Power) (Level 1)'. Part of a broader unit on 'Exponents - Negative, Fractional, and Power Law' Learn online: app.mobius.academy/math/units/exponents_negatives_fractions_and_power_law/
1
Find the answer when these terms are multiplied
A LaTex expression showing 1 over 21 to the power of 2 times 1 over 21 to the power of 2 times 1 over 21 to the power of 2 times 1 over 21 to the power of 2
a A LaTex expression showing 1 over 21 to the power of 8
b A LaTex expression showing 1 over 21 to the power of 80
c A LaTex expression showing 1 over 21 to the power of 800
d A LaTex expression showing 1 over 21 to the power of 7
e A LaTex expression showing 21 to the power of 2
2
Find the answer when these terms are multiplied
A LaTex expression showing 1 over 6 to the power of 2 times 1 over 6 to the power of 2 times 1 over 6 to the power of 2 times 1 over 6 to the power of 2
a A LaTex expression showing 6 to the power of 0
b A LaTex expression showing 1 over 6 to the power of 9
c A LaTex expression showing 1 over 6 to the power of 8
d A LaTex expression showing 1 over 6 to the power of 6
3
Find the answer when these terms are multiplied
A LaTex expression showing 1 over 4 to the power of 2 times 1 over 4 to the power of 2
a A LaTex expression showing 1 over 4 to the power of 4
b A LaTex expression showing 4 to the power of 0
c A LaTex expression showing 1
4
Find the answer when these terms are multiplied
A LaTex expression showing 1 over 15 to the power of 2 times 1 over 15 to the power of 2 times 1 over 15 to the power of 2 times 1 over 15 to the power of 2
a A LaTex expression showing 1
b A LaTex expression showing 15 to the power of 2
c A LaTex expression showing 1 over 15 to the power of 6
d A LaTex expression showing 1 over 15 to the power of 8
e A LaTex expression showing 1 over 15 to the power of 800
5
Find the answer when these terms are multiplied
A LaTex expression showing 1 over 14 times 1 over 14 times 1 over 14
a A LaTex expression showing 1 over 14 to the power of 2
b A LaTex expression showing 1 over 14 to the power of 3
c A LaTex expression showing 14 to the power of 2
6
Find the answer when these terms are multiplied
A LaTex expression showing 1 over 77 to the power of 2 times 1 over 77 to the power of 2 times 1 over 77 to the power of 2
a A LaTex expression showing 77
b A LaTex expression showing 1 over 77 to the power of 600
c A LaTex expression showing 1
d A LaTex expression showing 1 over 77 to the power of 6
7
Find the answer when these terms are multiplied
A LaTex expression showing 1 over 35 to the power of 2 times 1 over 35 to the power of 2
a A LaTex expression showing 1 over 35 to the power of 4
b A LaTex expression showing 1 over 35 to the power of 40
c A LaTex expression showing 1 over 35 to the power of 3
d A LaTex expression showing 1