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

This math topic focuses on exponents and the power law, specifically dealing with expressions where variables are raised to a power, and that result is itself raised to another power. Students practice applying the rule that involves multiplying the exponents when a power is raised to another power (e.g., \((x^m)^n = x^{m*n}\)). The problems include various bases represented as algebraic variables and challenge students to identify the correct simplification from multiple choice answers.

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

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

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Exponents - Power Law with Variable Base (Positives, Exponent with Power to Exponent)
1
Find the answer when this term is raised to its exponent
A LaTex expression showing (y to the power of 4 ) to the power of 4
a A LaTex expression showing y to the power of 17
b A LaTex expression showing y to the power of 0
c A LaTex expression showing y to the power of 18
d A LaTex expression showing y to the power of 16
2
Find the answer when this term is raised to its exponent
A LaTex expression showing (n to the power of 3 ) to the power of 4
a A LaTex expression showing n to the power of 9
b A LaTex expression showing n to the power of 12
c A LaTex expression showing n to the power of 120
d A LaTex expression showing n to the power of 7
3
Find the answer when this term is raised to its exponent
A LaTex expression showing (r to the power of 3 ) to the power of 2
a A LaTex expression showing r to the power of 5
b A LaTex expression showing r to the power of 6
c A LaTex expression showing r to the power of 0
d A LaTex expression showing r to the power of 60
4
Find the answer when this term is raised to its exponent
A LaTex expression showing (m to the power of 4 ) to the power of 2
a A LaTex expression showing m to the power of 8
b A LaTex expression showing m to the power of 6
c A LaTex expression showing m to the power of 7
d A LaTex expression showing m to the power of 80
5
Find the answer when this term is raised to its exponent
A LaTex expression showing (z to the power of 4 ) to the power of 2
a A LaTex expression showing z to the power of 9
b A LaTex expression showing z to the power of 6
c A LaTex expression showing z to the power of 8
d A LaTex expression showing z to the power of 7
6
Find the answer when this term is raised to its exponent
A LaTex expression showing (z to the power of 3 ) to the power of 2
a A LaTex expression showing z to the power of 0
b A LaTex expression showing z to the power of 600
c A LaTex expression showing z to the power of 5
d A LaTex expression showing z to the power of 6
e A LaTex expression showing z to the power of 60
7
Find the answer when this term is raised to its exponent
A LaTex expression showing (p to the power of 5 ) to the power of 3
a A LaTex expression showing p to the power of 1,500
b A LaTex expression showing p to the power of 15
c A LaTex expression showing p
d A LaTex expression showing p to the power of 16
e A LaTex expression showing p to the power of 17
8
Find the answer when this term is raised to its exponent
A LaTex expression showing (d to the power of 2 ) to the power of 4
a A LaTex expression showing d to the power of 9
b A LaTex expression showing d to the power of 8
c A LaTex expression showing d to the power of 6
d A LaTex expression showing d to the power of 7
e A LaTex expression showing d to the power of 0