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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Math worksheet on 'Exponents - Power Law with Prime Base (Positives, Expanded to Exponent) (Level 1)'. Part of a broader unit on 'Exponents - Power Law - Intro' Learn online: app.mobius.academy/math/units/exponents_power_law_intro/
1
Find the answer when these terms are multiplied
A LaTex expression showing 11 to the power of 3 times 11 to the power of 3 times 11 to the power of 3
a A LaTex expression showing 11 to the power of 0
b A LaTex expression showing 11 to the power of 90
c A LaTex expression showing 11 to the power of 8
d A LaTex expression showing 11 to the power of 9
e A LaTex expression showing 11 to the power of 6
2
Find the answer when these terms are multiplied
A LaTex expression showing 11 to the power of 2 times 11 to the power of 2
a A LaTex expression showing 11 to the power of 0
b A LaTex expression showing 11 to the power of 3
c A LaTex expression showing 11 to the power of 4
d A LaTex expression showing 11 to the power of 40
3
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
a A LaTex expression showing 2 to the power of 5
b A LaTex expression showing 2 to the power of 7
c A LaTex expression showing 2 to the power of 6
4
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 9
b A LaTex expression showing 3 to the power of 6
c A LaTex expression showing 3 to the power of 10
d A LaTex expression showing 3 to the power of 7
5
Find the answer when these terms are multiplied
A LaTex expression showing 11 to the power of 2 times 11 to the power of 2 times 11 to the power of 2 times 11 to the power of 2
a A LaTex expression showing 11 to the power of 80
b A LaTex expression showing 11 to the power of 7
c A LaTex expression showing 11 to the power of 6
d A LaTex expression showing 11 to the power of 8
6
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 5
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 6
7
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
a A LaTex expression showing 5 to the power of 6
b A LaTex expression showing 5 to the power of 0
c A LaTex expression showing 5 to the power of 9
d A LaTex expression showing 5 to the power of 8
Exponents - Power Law with Prime Base (Positives, Expanded to Exponent) (Level 1) - Mobius Math