Power Law with Prime Base (Negatives, Exponent with Power to Fraction with Power) (Level 1)

This math topic focuses on the application of the power law for exponents, specifically involving negative exponents and prime bases. Problems require calculating the results of multiplying terms with powers, where bases are prime numbers like 2, 3, 5, 7, and 11, all raised to negative exponents. It tests the understanding of how multiplying terms with exponents results in adding the exponents and applying this to negative values, emphasizing the concept of reciprocal as seen in expressions like the inverse of a base raised to a positive power.

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, Exponent with Power to Fraction with Power) Worksheet

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Exponents - Power Law with Prime Base (Negatives, Exponent with Power to Fraction with Power)
1
Find the answer when these terms are multiplied
A LaTex expression showing 5 to the power of -3 times 5 to the power of -3 times 5 to the power of -3 times 5 to the power of -3
a A LaTex expression showing 1 over 5
b A LaTex expression showing 5 to the power of 0
c A LaTex expression showing 1 over 5 to the power of 1,200
d A LaTex expression showing 1 over 5 to the power of 12
e A LaTex expression showing 1 over 5 to the power of 10
2
Find the answer when these terms are multiplied
A LaTex expression showing 3 to the power of -1 times 3 to the power of -1 times 3 to the power of -1
a A LaTex expression showing 1 over 3 to the power of 2
b A LaTex expression showing 1 over 3 to the power of 3
c A LaTex expression showing 1 over 3 to the power of 300
d A LaTex expression showing 3 to the power of 2
3
Find the answer when these terms are multiplied
A LaTex expression showing 3 to the power of -3 times 3 to the power of -3 times 3 to the power of -3
a A LaTex expression showing 1 over 3 to the power of 9
b A LaTex expression showing 1 over 3 to the power of 900
c A LaTex expression showing 1 over 3 to the power of 10
d A LaTex expression showing 1 over 3 to the power of 90
e A LaTex expression showing 3 to the power of 0
4
Find the answer when these terms are multiplied
A LaTex expression showing 7 to the power of -1 times 7 to the power of -1
a A LaTex expression showing 1 over 7
b A LaTex expression showing 7
c A LaTex expression showing 1 over 7 to the power of 2
d A LaTex expression showing 7 to the power of 0
5
Find the answer when these terms are multiplied
A LaTex expression showing 5 to the power of -2 times 5 to the power of -2
a A LaTex expression showing 5 to the power of 0
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 400
d 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 7 to the power of -1 times 7 to the power of -1 times 7 to the power of -1 times 7 to the power of -1
a A LaTex expression showing 1 over 7 to the power of 4
b A LaTex expression showing 1 over 7 to the power of 3
c A LaTex expression showing 1 over 7 to the power of 40
d A LaTex expression showing 7 to the power of 3
e A LaTex expression showing 1
7
Find the answer when these terms are multiplied
A LaTex expression showing 2 to the power of -3 times 2 to the power of -3 times 2 to the power of -3 times 2 to the power of -3
a A LaTex expression showing 2 to the power of 0
b A LaTex expression showing 1 over 2 to the power of 1,200
c A LaTex expression showing 1 over 2 to the power of 12
d A LaTex expression showing 1 over 2
e A LaTex expression showing 1 over 2 to the power of 9
8
Find the answer when these terms are multiplied
A LaTex expression showing 7 to the power of -2 times 7 to the power of -2 times 7 to the power of -2 times 7 to the power of -2
a A LaTex expression showing 1 over 7 to the power of 8
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 6
d A LaTex expression showing 1