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Exponents - Power Law with Variable Base (Negatives, Expanded Fraction to Fraction with Power) (Level 1)

This math topic focuses on practicing the power law of exponents with variable bases, particularly involving negative exponents and the conversion of expanded fractions to powers of fractions. The detailed problems are centered on multiplying terms that include fractional bases raised to various powers, requiring skills in manipulating exponents to simplify expressions. These questions are suited for students starting to learn about the power properties of exponents in an introductory unit on the topic. Multiple-choice answers are provided to verify comprehension and correctness of exponential manipulations.

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

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Power Law with Variable 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

1n2â‹…1n2\frac{1}{n^{2}} \cdot \frac{1}{n^{2}}

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

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Math worksheet on 'Exponents - Power Law with Variable Base (Negatives, Expanded Fraction to Fraction with Power) (Level 1)'. Part of a broader unit on 'Exponents - Multiplication and Division - Advanced' Learn online: app.mobius.academy/math/units/exponents_multiplication_and_division_advanced/
1
Find the answer when these terms are multiplied
A LaTex expression showing 1 over d to the power of 3 times 1 over d to the power of 3 times 1 over d to the power of 3 times 1 over d to the power of 3
a A LaTex expression showing 1 over d
b A LaTex expression showing 1 over d to the power of 9
c A LaTex expression showing 1 over d to the power of 13
d A LaTex expression showing 1 over d to the power of 12
e A LaTex expression showing d
2
Find the answer when these terms are multiplied
A LaTex expression showing 1 over c times 1 over c times 1 over c
a A LaTex expression showing 1 over c to the power of 3
b A LaTex expression showing 1 over c to the power of 2
c A LaTex expression showing c to the power of 0
d A LaTex expression showing c to the power of 2
3
Find the answer when these terms are multiplied
A LaTex expression showing 1 over c to the power of 3 times 1 over c to the power of 3 times 1 over c to the power of 3
a A LaTex expression showing 1 over c to the power of 7
b A LaTex expression showing 1
c A LaTex expression showing 1 over c to the power of 9
4
Find the answer when these terms are multiplied
A LaTex expression showing 1 over b to the power of 3 times 1 over b to the power of 3
a A LaTex expression showing 1 over b to the power of 60
b A LaTex expression showing 1 over b to the power of 600
c A LaTex expression showing 1 over b
d A LaTex expression showing 1 over b to the power of 6
5
Find the answer when these terms are multiplied
A LaTex expression showing 1 over c times 1 over c times 1 over c times 1 over c
a A LaTex expression showing c to the power of 3
b A LaTex expression showing 1 over c to the power of 3
c A LaTex expression showing 1 over c to the power of 4
6
Find the answer when these terms are multiplied
A LaTex expression showing 1 over y to the power of 2 times 1 over y to the power of 2
a A LaTex expression showing 1 over y to the power of 3
b A LaTex expression showing 1
c A LaTex expression showing 1 over y to the power of 40
d A LaTex expression showing 1 over y to the power of 4
7
Find the answer when these terms are multiplied
A LaTex expression showing 1 over d to the power of 2 times 1 over d to the power of 2 times 1 over d to the power of 2 times 1 over d to the power of 2
a A LaTex expression showing 1 over d to the power of 8
b A LaTex expression showing 1 over d to the power of 9
c A LaTex expression showing d to the power of 2
d A LaTex expression showing 1 over d to the power of 80