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

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


Find the answer when this term is raised to its exponent

(154)2(15^{4})^{2}

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 - Multiplication and Division - Advanced' Learn online: app.mobius.academy/math/units/exponents_multiplication_and_division_advanced/
1
Find the answer when this term is raised to its exponent
A LaTex expression showing (35 to the power of 3 ) to the power of 2
a A LaTex expression showing 35 to the power of 5
b A LaTex expression showing 35 to the power of 6
c A LaTex expression showing 35 to the power of 0
2
Find the answer when this term is raised to its exponent
A LaTex expression showing (9 to the power of 4 ) to the power of 3
a A LaTex expression showing 9 to the power of 12
b A LaTex expression showing 9 to the power of 13
c A LaTex expression showing 9
d A LaTex expression showing 9 to the power of 11
3
Find the answer when this term is raised to its exponent
A LaTex expression showing (15 to the power of 3 ) to the power of 2
a A LaTex expression showing 15 to the power of 6
b A LaTex expression showing 15 to the power of 4
c A LaTex expression showing 15 to the power of 0
d A LaTex expression showing 15 to the power of 5
4
Find the answer when this term is raised to its exponent
A LaTex expression showing (25 to the power of 5 ) to the power of 3
a A LaTex expression showing 25 to the power of 1,500
b A LaTex expression showing 25 to the power of 12
c A LaTex expression showing 25 to the power of 0
d A LaTex expression showing 25 to the power of 8
e A LaTex expression showing 25 to the power of 15
5
Find the answer when this term is raised to its exponent
A LaTex expression showing (77 to the power of 4 ) to the power of 2
a A LaTex expression showing 77 to the power of 80
b A LaTex expression showing 77 to the power of 8
c A LaTex expression showing 77 to the power of 7
d A LaTex expression showing 77 to the power of 9
e A LaTex expression showing 77 to the power of 6
6
Find the answer when this term is raised to its exponent
A LaTex expression showing (15 to the power of 4 ) to the power of 2
a A LaTex expression showing 15 to the power of 80
b A LaTex expression showing 15 to the power of 800
c A LaTex expression showing 15 to the power of 6
d A LaTex expression showing 15 to the power of 8
e A LaTex expression showing 15 to the power of 7
7
Find the answer when this term is raised to its exponent
A LaTex expression showing (10 to the power of 2 ) to the power of 2
a A LaTex expression showing 10 to the power of 3
b A LaTex expression showing 10 to the power of 0
c A LaTex expression showing 10 to the power of 4