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

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Exponents - Power Law with Variable Base (Positives, Expanded to Exponent)
1
Find the answer when these terms are multiplied
A LaTex expression showing c to the power of 3 times c to the power of 3 times c to the power of 3 times c to the power of 3
a A LaTex expression showing c to the power of 12
b A LaTex expression showing c
c A LaTex expression showing c to the power of 1,200
d A LaTex expression showing c to the power of 10
2
Find the answer when these terms are multiplied
A LaTex expression showing n to the power of 2 times n to the power of 2 times n to the power of 2 times n to the power of 2
a A LaTex expression showing n to the power of 0
b A LaTex expression showing n to the power of 800
c A LaTex expression showing n to the power of 9
d A LaTex expression showing n to the power of 8
e A LaTex expression showing n to the power of 7
3
Find the answer when these terms are multiplied
A LaTex expression showing y to the power of 2 times y to the power of 2 times y to the power of 2
a A LaTex expression showing y to the power of 6
b A LaTex expression showing y to the power of 0
c A LaTex expression showing y to the power of 4
d A LaTex expression showing y to the power of 60
e A LaTex expression showing y to the power of 5
4
Find the answer when these terms are multiplied
A LaTex expression showing b to the power of 2 times b to the power of 2 times b to the power of 2
a A LaTex expression showing b to the power of 6
b A LaTex expression showing b to the power of 5
c A LaTex expression showing b to the power of 4
d A LaTex expression showing b to the power of 60
5
Find the answer when these terms are multiplied
A LaTex expression showing y to the power of 2 times y to the power of 2 times y to the power of 2 times y to the power of 2
a A LaTex expression showing y to the power of 6
b A LaTex expression showing y to the power of 7
c A LaTex expression showing y to the power of 8
6
Find the answer when these terms are multiplied
A LaTex expression showing b to the power of 3 times b to the power of 3
a A LaTex expression showing b to the power of 5
b A LaTex expression showing b to the power of 0
c A LaTex expression showing b to the power of 60
d A LaTex expression showing b to the power of 6
7
Find the answer when these terms are multiplied
A LaTex expression showing z to the power of 3 times z to the power of 3 times z to the power of 3
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 0
8
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 times m to the power of 3
a A LaTex expression showing m to the power of 12
b A LaTex expression showing m to the power of 10
c A LaTex expression showing m to the power of 7
d A LaTex expression showing m to the power of 11