Exponents - 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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Power Law with Variable 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

(r4)3(r^{4})^{3}

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

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Math worksheet on 'Exponents - Power Law with Variable Base (Positives, Exponent with Power to Exponent) (Level 1)'. Part of a broader unit on 'Exponents - Negative, Fractional, and Power Law' Learn online: app.mobius.academy/math/units/exponents_negatives_fractions_and_power_law/
1
Find the answer when this term is raised to its exponent
A LaTex expression showing (r to the power of 4 ) to the power of 3
a A LaTex expression showing r to the power of 12
b A LaTex expression showing r to the power of 11
c A LaTex expression showing r to the power of 14
d A LaTex expression showing r to the power of 1,200
e A LaTex expression showing r to the power of 7
2
Find the answer when this term is raised to its exponent
A LaTex expression showing (n to the power of 5 ) to the power of 4
a A LaTex expression showing n to the power of 17
b A LaTex expression showing n to the power of 9
c A LaTex expression showing n to the power of 20
d A LaTex expression showing n to the power of 2
e A LaTex expression showing n to the power of 23
3
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 3
a A LaTex expression showing z to the power of 120
b A LaTex expression showing z to the power of 14
c A LaTex expression showing z to the power of 7
d A LaTex expression showing z to the power of 11
e A LaTex expression showing z to the power of 12
4
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
b A LaTex expression showing n to the power of 7
c A LaTex expression showing n to the power of 13
d A LaTex expression showing n to the power of 12
e A LaTex expression showing n to the power of 120
5
Find the answer when this term is raised to its exponent
A LaTex expression showing (x to the power of 2 ) to the power of 4
a A LaTex expression showing x to the power of 80
b A LaTex expression showing x to the power of 9
c A LaTex expression showing x to the power of 8
d A LaTex expression showing x to the power of 0
6
Find the answer when this term is raised to its exponent
A LaTex expression showing (r to the power of 4 ) to the power of 4
a A LaTex expression showing r to the power of 17
b A LaTex expression showing r to the power of 16
c A LaTex expression showing r to the power of 12
d A LaTex expression showing r to the power of 8
e A LaTex expression showing r to the power of 14
7
Find the answer when this term is raised to its exponent
A LaTex expression showing (n to the power of 2 ) to the power of 3
a A LaTex expression showing n to the power of 6
b A LaTex expression showing n to the power of 5
c A LaTex expression showing n to the power of 600