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

This math topic focuses on practicing exponentiation, specifically the application of the power law with a composite base. It involves calculating expressions where an exponent is raised to another power, such as \((a^m)^n\). The problems offered in this topic challenge students to simplify such expressions correctly to their simplest form, as exemplified by tasks like calculating \((4^2)^4\) or \((121^5)^2\). Each question provides multiple-choice answers, requiring students to select the correct simplified result. The content is part of an introductory unit on exponent laws.

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

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Exponents - Power Law with Composite Base (Positives, Exponent with Power to Exponent) Worksheet

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Math worksheet on 'Exponents - Power Law with Composite Base (Positives, Exponent with Power 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 this term is raised to its exponent
A LaTex expression showing (21 to the power of 3 ) to the power of 3
a A LaTex expression showing 21 to the power of 8
b A LaTex expression showing 21 to the power of 9
c A LaTex expression showing 21 to the power of 10
d A LaTex expression showing 21 to the power of 7
e A LaTex expression showing 21 to the power of 900
2
Find the answer when this term is raised to its exponent
A LaTex expression showing (15 to the power of 2 ) to the power of 3
a A LaTex expression showing 15 to the power of 5
b A LaTex expression showing 15 to the power of 6
c A LaTex expression showing 15 to the power of 4
3
Find the answer when this term is raised to its exponent
A LaTex expression showing (77 to the power of 3 ) to the power of 3
a A LaTex expression showing 77 to the power of 90
b A LaTex expression showing 77 to the power of 8
c A LaTex expression showing 77 to the power of 900
d A LaTex expression showing 77 to the power of 10
e A LaTex expression showing 77 to the power of 9
4
Find the answer when this term is raised to its exponent
A LaTex expression showing (55 to the power of 3 ) to the power of 2
a A LaTex expression showing 55 to the power of 6
b A LaTex expression showing 55 to the power of 600
c A LaTex expression showing 55 to the power of 7
d A LaTex expression showing 55 to the power of 5
5
Find the answer when this term is raised to its exponent
A LaTex expression showing (22 to the power of 5 ) to the power of 3
a A LaTex expression showing 22 to the power of 17
b A LaTex expression showing 22 to the power of 16
c A LaTex expression showing 22 to the power of 150
d A LaTex expression showing 22 to the power of 15
e A LaTex expression showing 22
6
Find the answer when this term is raised to its exponent
A LaTex expression showing (33 to the power of 4 ) to the power of 3
a A LaTex expression showing 33 to the power of 13
b A LaTex expression showing 33 to the power of 120
c A LaTex expression showing 33 to the power of 12
d A LaTex expression showing 33 to the power of 1,200
e A LaTex expression showing 33 to the power of 7
7
Find the answer when this term is raised to its exponent
A LaTex expression showing (21 to the power of 5 ) to the power of 4
a A LaTex expression showing 21 to the power of 21
b A LaTex expression showing 21 to the power of 19
c A LaTex expression showing 21 to the power of 200
d A LaTex expression showing 21 to the power of 20
Exponents - Power Law with Composite Base (Positives, Exponent with Power to Exponent) (Level 1) - Mobius Math