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

This math topic focuses on practicing the Power Law of exponents with variable bases. It specifically deals with situations where variables are raised to various powers and then multiplied together. Each problem requires the user to simplify expressions by applying the correct exponentiation rules and selecting the correct answer from multiple choices. This set of problems is part of an introductory unit on exponentiation rules where the base is a variable and involves positive exponents. The emphasis is on expanding and simplifying expressions which are presented in a multiple-choice format.

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, Expanded to Exponent)

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


Find the answer when these terms are multiplied

x3â‹…x3â‹…x3x^{3} \cdot x^{3} \cdot x^{3}

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

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Math worksheet on 'Exponents - Power Law with Variable Base (Positives, Expanded 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 these terms are multiplied
A LaTex expression showing m to the power of 2 times m to the power of 2 times m to the power of 2
a A LaTex expression showing m to the power of 5
b A LaTex expression showing m to the power of 6
c A LaTex expression showing m to the power of 4
d A LaTex expression showing m to the power of 0
2
Find the answer when these terms are multiplied
A LaTex expression showing x to the power of 3 times x to the power of 3
a A LaTex expression showing x to the power of 6
b A LaTex expression showing x to the power of 5
c A LaTex expression showing x to the power of 4
d A LaTex expression showing x to the power of 600
3
Find the answer when these terms are multiplied
A LaTex expression showing r to the power of 2 times r to the power of 2 times r 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 7
c A LaTex expression showing r to the power of 6
d A LaTex expression showing r to the power of 0
e A LaTex expression showing r to the power of 60
4
Find the answer when these terms are multiplied
A LaTex expression showing m to the power of 3 times m to the power of 3 times m to the power of 3
a A LaTex expression showing m to the power of 9
b A LaTex expression showing m to the power of 0
c A LaTex expression showing m to the power of 6
d A LaTex expression showing m to the power of 90
5
Find the answer when these terms are multiplied
A LaTex expression showing d to the power of 3 times d to the power of 3
a A LaTex expression showing d to the power of 4
b A LaTex expression showing d to the power of 5
c A LaTex expression showing d to the power of 6
d A LaTex expression showing d to the power of 600
6
Find the answer when these terms are multiplied
A LaTex expression showing d to the power of 2 times d to the power of 2 times d to the power of 2 times d to the power of 2
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
7
Find the answer when these terms are multiplied
A LaTex expression showing y to the power of 3 times y to the power of 3 times y to the power of 3 times y to the power of 3
a A LaTex expression showing y to the power of 10
b A LaTex expression showing y to the power of 1,200
c A LaTex expression showing y to the power of 7
d A LaTex expression showing y to the power of 12
e A LaTex expression showing y to the power of 13