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.

more
View

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

Mobius Math Academy logo
Exponents - Power Law with Composite Base (Positives, Exponent with Power to Exponent)
1
Find the answer when this term is raised to its exponent
A LaTex expression showing (14 to the power of 3 ) to the power of 2
a A LaTex expression showing 14 to the power of 600
b A LaTex expression showing 14 to the power of 6
c A LaTex expression showing 14 to the power of 0
d A LaTex expression showing 14 to the power of 5
2
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 0
c A LaTex expression showing 15 to the power of 8
d A LaTex expression showing 15 to the power of 9
3
Find the answer when this term is raised to its exponent
A LaTex expression showing (15 to the power of 5 ) to the power of 4
a A LaTex expression showing 15 to the power of 20
b A LaTex expression showing 15 to the power of 16
c A LaTex expression showing 15 to the power of 21
d A LaTex expression showing 15 to the power of 17
4
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 6
b A LaTex expression showing 15 to the power of 5
c A LaTex expression showing 15 to the power of 4
5
Find the answer when this term is raised to its exponent
A LaTex expression showing (21 to the power of 4 ) to the power of 3
a A LaTex expression showing 21 to the power of 11
b A LaTex expression showing 21 to the power of 10
c A LaTex expression showing 21 to the power of 0
d A LaTex expression showing 21 to the power of 12
e A LaTex expression showing 21 to the power of 120
6
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 10
b A LaTex expression showing 77 to the power of 900
c A LaTex expression showing 77 to the power of 9
d A LaTex expression showing 77 to the power of 8
e A LaTex expression showing 77 to the power of 90
7
Find the answer when this term is raised to its exponent
A LaTex expression showing (4 to the power of 3 ) to the power of 2
a A LaTex expression showing 4 to the power of 6
b A LaTex expression showing 4 to the power of 5
c A LaTex expression showing 4 to the power of 60
d A LaTex expression showing 4 to the power of 4
8
Find the answer when this term is raised to its exponent
A LaTex expression showing (35 to the power of 2 ) to the power of 2
a A LaTex expression showing 35 to the power of 3
b A LaTex expression showing 35 to the power of 0
c A LaTex expression showing 35 to the power of 4