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

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Exponents - Power Law with Prime Base (Negatives, Expanded Fraction to Fraction with Power)
1
Find the answer when these terms are multiplied
A LaTex expression showing 1 over 7 times 1 over 7 times 1 over 7 times 1 over 7
a A LaTex expression showing 1 over 7 to the power of 4
b A LaTex expression showing 7 to the power of 3
c A LaTex expression showing 1 over 7 to the power of 40
d A LaTex expression showing 1 over 7 to the power of 3
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 1 over 2 to the power of 3
b A LaTex expression showing 1 over 2 to the power of 2
c A LaTex expression showing 1 over 2 to the power of 300
d A LaTex expression showing 2 to the power of 0
3
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 times 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 7
b A LaTex expression showing 1 over 5 to the power of 800
c A LaTex expression showing 5 to the power of 0
d A LaTex expression showing 5 to the power of 2
e A LaTex expression showing 1 over 5 to the power of 8
4
Find the answer when these terms are multiplied
A LaTex expression showing 1 over 3 times 1 over 3 times 1 over 3 times 1 over 3
a A LaTex expression showing 3 to the power of 0
b A LaTex expression showing 1 over 3 to the power of 3
c A LaTex expression showing 3 to the power of 3
d A LaTex expression showing 1 over 3 to the power of 4
5
Find the answer when these terms are multiplied
A LaTex expression showing 1 over 2 to the power of 3 times 1 over 2 to the power of 3 times 1 over 2 to the power of 3 times 1 over 2 to the power of 3
a A LaTex expression showing 1 over 2
b A LaTex expression showing 1 over 2 to the power of 120
c A LaTex expression showing 1 over 2 to the power of 9
d A LaTex expression showing 2
e A LaTex expression showing 1 over 2 to the power of 12
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 0
b A LaTex expression showing 2 to the power of 3
c A LaTex expression showing 1 over 2 to the power of 4
d A LaTex expression showing 1 over 2 to the power of 3
e A LaTex expression showing 1
7
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
a A LaTex expression showing 1 over 5 to the power of 6
b A LaTex expression showing 1 over 5 to the power of 600
c A LaTex expression showing 1 over 5
d A LaTex expression showing 1 over 5 to the power of 5
e A LaTex expression showing 1 over 5 to the power of 60
8
Find the answer when these terms are multiplied
A LaTex expression showing 1 over 7 times 1 over 7 times 1 over 7
a A LaTex expression showing 7 to the power of 2
b A LaTex expression showing 1
c A LaTex expression showing 1 over 7 to the power of 300
d A LaTex expression showing 1 over 7 to the power of 30
e A LaTex expression showing 1 over 7 to the power of 3