Power Law (Level 1)

This topic focuses on practicing the power law of exponents with a special emphasis on calculations involving negative exponents and multiplication of expressions with identical bases. It delves into solving expressions like calculating powers of the same base multiplied several times with negative exponents, demonstrating critical thinking in understanding and applying exponent rules. Each problem presents multiple choice answers, helping to reinforce the concept of simplifying powers and understanding the effects of negative exponents in mathematical expressions. The problems increase in complexity, progressively challenging the learner’s grasp of the subject matter.

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

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Exponents - Power Law Worksheet

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Exponents - Power Law
1
Find the answer when these terms are multiplied
A LaTex expression showing 21 to the power of -2 times 21 to the power of -2
a A LaTex expression showing 21 to the power of 0
b A LaTex expression showing 1 over 21 to the power of 4
c A LaTex expression showing 1 over 21 to the power of 3
2
Find the answer when these terms are multiplied
A LaTex expression showing 6 to the power of -1 times 6 to the power of -1
a A LaTex expression showing 6
b A LaTex expression showing 1
c A LaTex expression showing 1 over 6
d A LaTex expression showing 1 over 6 to the power of 2
3
Find the answer when these terms are multiplied
A LaTex expression showing 22 to the power of -3 times 22 to the power of -3 times 22 to the power of -3 times 22 to the power of -3
a A LaTex expression showing 1 over 22 to the power of 13
b A LaTex expression showing 1 over 22 to the power of 12
c A LaTex expression showing 22 to the power of 0
d A LaTex expression showing 1 over 22 to the power of 1,200
4
Find the answer when these terms are multiplied
A LaTex expression showing 22 to the power of -2 times 22 to the power of -2 times 22 to the power of -2 times 22 to the power of -2
a A LaTex expression showing 1 over 22 to the power of 8
b A LaTex expression showing 1 over 22 to the power of 6
c A LaTex expression showing 1 over 22 to the power of 9
d A LaTex expression showing 1
e A LaTex expression showing 22 to the power of 0
5
Find the answer when these terms are multiplied
A LaTex expression showing 15 to the power of -3 times 15 to the power of -3
a A LaTex expression showing 1 over 15
b A LaTex expression showing 1 over 15 to the power of 5
c A LaTex expression showing 1 over 15 to the power of 6
d A LaTex expression showing 1 over 15 to the power of 7
6
Find the answer when these terms are multiplied
A LaTex expression showing 25 to the power of -3 times 25 to the power of -3 times 25 to the power of -3 times 25 to the power of -3
a A LaTex expression showing 1 over 25 to the power of 12
b A LaTex expression showing 1 over 25 to the power of 10
c A LaTex expression showing 1 over 25 to the power of 1,200
d A LaTex expression showing 1 over 25 to the power of 120
e A LaTex expression showing 25
7
Find the answer when these terms are multiplied
A LaTex expression showing 10 to the power of -3 times 10 to the power of -3 times 10 to the power of -3 times 10 to the power of -3
a A LaTex expression showing 1 over 10 to the power of 12
b A LaTex expression showing 1 over 10 to the power of 11
c A LaTex expression showing 1 over 10 to the power of 10
d A LaTex expression showing 1 over 10 to the power of 13
8
Find the answer when these terms are multiplied
A LaTex expression showing 14 to the power of -3 times 14 to the power of -3 times 14 to the power of -3 times 14 to the power of -3
a A LaTex expression showing 1 over 14 to the power of 12
b A LaTex expression showing 1 over 14 to the power of 10
c A LaTex expression showing 1 over 14 to the power of 11
d A LaTex expression showing 1 over 14
e A LaTex expression showing 14