Power Law with Prime Base (Positives, Expanded to Exponent) (Level 1)

This math topic involves practicing the power law of exponents with prime bases, specifically focusing on multiplying terms with exponents and finding the resultant power. The problems center on simplifying expressions where bases remain the same and exponents are added, such as \(11^2 \times 11^2\), \(3^3 \times 3^3\), or \(2^3 \times 2^3\), among others. The exercises are designed to strengthen understanding of how to handle expressions involving repeated multiplication of the same base raised to various powers.

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 (Positives, Expanded to Exponent) Worksheet

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Exponents - Power Law with Prime Base (Positives, Expanded to Exponent)
1
Find the answer when these terms are multiplied
A LaTex expression showing 7 to the power of 3 times 7 to the power of 3 times 7 to the power of 3 times 7 to the power of 3
a A LaTex expression showing 7 to the power of 11
b A LaTex expression showing 7 to the power of 7
c A LaTex expression showing 7 to the power of 13
d A LaTex expression showing 7 to the power of 10
e A LaTex expression showing 7 to the power of 12
2
Find the answer when these terms are multiplied
A LaTex expression showing 2 to the power of 2 times 2 to the power of 2 times 2 to the power of 2 times 2 to the power of 2
a A LaTex expression showing 2 to the power of 0
b A LaTex expression showing 2 to the power of 7
c A LaTex expression showing 2 to the power of 8
d A LaTex expression showing 2 to the power of 9
3
Find the answer when these terms are multiplied
A LaTex expression showing 3 to the power of 2 times 3 to the power of 2 times 3 to the power of 2
a A LaTex expression showing 3 to the power of 5
b A LaTex expression showing 3 to the power of 600
c A LaTex expression showing 3 to the power of 0
d A LaTex expression showing 3 to the power of 6
4
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 3
b A LaTex expression showing 5 to the power of 0
c A LaTex expression showing 5 to the power of 4
d A LaTex expression showing 5 to the power of 400
5
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
a A LaTex expression showing 2 to the power of 0
b A LaTex expression showing 2 to the power of 6
c A LaTex expression showing 2 to the power of 7
d A LaTex expression showing 2 to the power of 5
6
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 3 to the power of 10
b A LaTex expression showing 3 to the power of 9
c A LaTex expression showing 3 to the power of 6
d A LaTex expression showing 3 to the power of 7
7
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
a A LaTex expression showing 7 to the power of 6
b A LaTex expression showing 7 to the power of 60
c A LaTex expression showing 7 to the power of 600
d A LaTex expression showing 7 to the power of 5
8
Find the answer when these terms are multiplied
A LaTex expression showing 7 to the power of 3 times 7 to the power of 3
a A LaTex expression showing 7 to the power of 6
b A LaTex expression showing 7 to the power of 5
c A LaTex expression showing 7 to the power of 60
d A LaTex expression showing 7 to the power of 4