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Exponents - 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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Power Law

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.

Find the answer when these terms are multiplied

9−2⋅9−29^{-2} \cdot 9^{-2}

Exponents - Power Law Worksheet

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Math worksheet on 'Exponents - Power Law (Level 1)'. Part of a broader unit on 'Exponents - Multiplication and Division - Advanced' Learn online: app.mobius.academy/math/units/exponents_multiplication_and_division_advanced/
1
Find the answer when these terms are multiplied
A LaTex expression showing 55 to the power of -3 times 55 to the power of -3 times 55 to the power of -3
a A LaTex expression showing 1 over 55 to the power of 7
b A LaTex expression showing 1
c A LaTex expression showing 1 over 55 to the power of 9
d A LaTex expression showing 1 over 55 to the power of 8
2
Find the answer when these terms are multiplied
A LaTex expression showing 10 to the power of -2 times 10 to the power of -2 times 10 to the power of -2 times 10 to the power of -2
a A LaTex expression showing 1 over 10 to the power of 80
b A LaTex expression showing 1 over 10 to the power of 9
c A LaTex expression showing 1
d A LaTex expression showing 1 over 10 to the power of 6
e A LaTex expression showing 1 over 10 to the power of 8
3
Find the answer when these terms are multiplied
A LaTex expression showing 22 to the power of -1 times 22 to the power of -1 times 22 to the power of -1 times 22 to the power of -1
a A LaTex expression showing 22 to the power of 0
b A LaTex expression showing 1
c A LaTex expression showing 22 to the power of 3
d A LaTex expression showing 1 over 22 to the power of 3
e A LaTex expression showing 1 over 22 to the power of 4
4
Find the answer when these terms are multiplied
A LaTex expression showing 14 to the power of -2 times 14 to the power of -2 times 14 to the power of -2 times 14 to the power of -2
a A LaTex expression showing 14 to the power of 0
b A LaTex expression showing 14 to the power of 2
c A LaTex expression showing 1 over 14 to the power of 8
d A LaTex expression showing 1 over 14 to the power of 7
e A LaTex expression showing 1 over 14 to the power of 800
5
Find the answer when these terms are multiplied
A LaTex expression showing 15 to the power of -1 times 15 to the power of -1 times 15 to the power of -1
a A LaTex expression showing 1 over 15 to the power of 300
b A LaTex expression showing 15 to the power of 0
c A LaTex expression showing 1 over 15 to the power of 3
d A LaTex expression showing 1 over 15 to the power of 2
e A LaTex expression showing 15 to the power of 2
6
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 times 6 to the power of -1 times 6 to the power of -1
a A LaTex expression showing 1 over 6 to the power of 40
b A LaTex expression showing 1 over 6 to the power of 3
c A LaTex expression showing 1 over 6 to the power of 400
d A LaTex expression showing 1 over 6 to the power of 4
e A LaTex expression showing 6 to the power of 3
7
Find the answer when these terms are multiplied
A LaTex expression showing 4 to the power of -1 times 4 to the power of -1
a A LaTex expression showing 4
b A LaTex expression showing 1 over 4
c A LaTex expression showing 1 over 4 to the power of 2