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

This math topic focuses on applying the power law of exponents to multiply terms with prime bases that are expressed as fractions raised to negative and positive powers. It guides learners through the process of combining like bases by summing their exponents, emphasizing the manipulation of fractional exponents and negative bases, mainly using prime numbers such as 2, 3, and 5. Through multiple-choice questions, learners evaluate and simplify these expressions, helping them understand how exponential forms can be combined and simplified using the laws of exponents.

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

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Power Law with Prime 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

173â‹…173â‹…173\frac{1}{7^{3}} \cdot \frac{1}{7^{3}} \cdot \frac{1}{7^{3}}

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

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Math worksheet on 'Exponents - Power Law with Prime 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 5 to the power of 3 times 1 over 5 to the power of 3 times 1 over 5 to the power of 3 times 1 over 5 to the power of 3
a A LaTex expression showing 1 over 5 to the power of 12
b A LaTex expression showing 1 over 5 to the power of 13
c A LaTex expression showing 1 over 5 to the power of 10
d A LaTex expression showing 1 over 5 to the power of 9
2
Find the answer when these terms are multiplied
A LaTex expression showing 1 over 2 times 1 over 2 times 1 over 2
a A LaTex expression showing 2 to the power of 2
b A LaTex expression showing 1 over 2 to the power of 3
c A LaTex expression showing 1 over 2 to the power of 2
3
Find the answer when these terms are multiplied
A LaTex expression showing 1 over 11 to the power of 3 times 1 over 11 to the power of 3 times 1 over 11 to the power of 3 times 1 over 11 to the power of 3
a A LaTex expression showing 1 over 11 to the power of 11
b A LaTex expression showing 1 over 11
c A LaTex expression showing 1 over 11 to the power of 10
d A LaTex expression showing 1 over 11 to the power of 120
e A LaTex expression showing 1 over 11 to the power of 12
4
Find the answer when these terms are multiplied
A LaTex expression showing 1 over 7 to the power of 3 times 1 over 7 to the power of 3 times 1 over 7 to the power of 3
a A LaTex expression showing 1 over 7 to the power of 900
b A LaTex expression showing 1 over 7 to the power of 8
c A LaTex expression showing 1 over 7 to the power of 10
d A LaTex expression showing 1 over 7 to the power of 9
e A LaTex expression showing 1
5
Find the answer when these terms are multiplied
A LaTex expression showing 1 over 5 to the power of 2 times 1 over 5 to the power of 2
a A LaTex expression showing 1 over 5 to the power of 400
b A LaTex expression showing 1 over 5 to the power of 3
c A LaTex expression showing 1 over 5 to the power of 40
d A LaTex expression showing 1
e A LaTex expression showing 1 over 5 to the power of 4
6
Find the answer when these terms are multiplied
A LaTex expression showing 1 over 2 times 1 over 2 times 1 over 2 times 1 over 2
a A LaTex expression showing 2 to the power of 3
b A LaTex expression showing 1 over 2 to the power of 4
c A LaTex expression showing 1 over 2 to the power of 3
d A LaTex expression showing 1
7
Find the answer when these terms are multiplied
A LaTex expression showing 1 over 7 to the power of 2 times 1 over 7 to the power of 2 times 1 over 7 to the power of 2 times 1 over 7 to the power of 2
a A LaTex expression showing 1
b A LaTex expression showing 1 over 7 to the power of 7
c A LaTex expression showing 1 over 7 to the power of 8
d A LaTex expression showing 1 over 7 to the power of 80
e A LaTex expression showing 7 to the power of 2