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

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Exponents - Power Law with Composite Base (Negatives, Expanded Fraction to Fraction with Power)
1
Find the answer when these terms are multiplied
A LaTex expression showing 1 over 4 to the power of 3 times 1 over 4 to the power of 3
a A LaTex expression showing 1 over 4 to the power of 6
b A LaTex expression showing 1 over 4
c A LaTex expression showing 1 over 4 to the power of 5
2
Find the answer when these terms are multiplied
A LaTex expression showing 1 over 25 times 1 over 25 times 1 over 25
a A LaTex expression showing 1 over 25 to the power of 30
b A LaTex expression showing 1
c A LaTex expression showing 1 over 25 to the power of 3
d A LaTex expression showing 25 to the power of 2
e A LaTex expression showing 1 over 25 to the power of 2
3
Find the answer when these terms are multiplied
A LaTex expression showing 1 over 33 times 1 over 33
a A LaTex expression showing 1 over 33 to the power of 200
b A LaTex expression showing 1 over 33 to the power of 2
c A LaTex expression showing 1 over 33
4
Find the answer when these terms are multiplied
A LaTex expression showing 1 over 14 to the power of 3 times 1 over 14 to the power of 3
a A LaTex expression showing 1 over 14 to the power of 5
b A LaTex expression showing 1 over 14 to the power of 4
c A LaTex expression showing 1 over 14 to the power of 6
d A LaTex expression showing 1 over 14 to the power of 60
5
Find the answer when these terms are multiplied
A LaTex expression showing 1 over 33 times 1 over 33 times 1 over 33
a A LaTex expression showing 1 over 33 to the power of 3
b A LaTex expression showing 33 to the power of 0
c A LaTex expression showing 1
d A LaTex expression showing 1 over 33 to the power of 2
6
Find the answer when these terms are multiplied
A LaTex expression showing 1 over 55 times 1 over 55 times 1 over 55 times 1 over 55
a A LaTex expression showing 55 to the power of 3
b A LaTex expression showing 1 over 55 to the power of 400
c A LaTex expression showing 1 over 55 to the power of 4
d A LaTex expression showing 1 over 55 to the power of 3
e A LaTex expression showing 1 over 55 to the power of 40
7
Find the answer when these terms are multiplied
A LaTex expression showing 1 over 77 times 1 over 77 times 1 over 77 times 1 over 77
a A LaTex expression showing 1 over 77 to the power of 4
b A LaTex expression showing 1 over 77 to the power of 3
c A LaTex expression showing 77 to the power of 3
8
Find the answer when these terms are multiplied
A LaTex expression showing 1 over 33 to the power of 3 times 1 over 33 to the power of 3
a A LaTex expression showing 1 over 33 to the power of 60
b A LaTex expression showing 1 over 33 to the power of 5
c A LaTex expression showing 1 over 33 to the power of 6
d A LaTex expression showing 1 over 33 to the power of 4