Algebra with Exponents - Monomial and Constant

Level 1

This math topic focuses on solving algebraic equations involving exponents, specifically where a monomial with an exponent is set equal to a constant. The problems require simplifying expressions to isolate and solve for a variable in the exponent. Specifically, the exercises deal with finding the correct power of a base (in this case, 3) that equals a given value (81), and identifying the variable within the exponent (such as 2n, 2y, 2x, etc.). This subtopic is a part of studying various exponent rules including negative, fractional, and power laws.

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

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Algebra with Exponents - Monomial and Constant Worksheet

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Algebra with Exponents - Monomial and Constant
1
A LaTex expression showing {{3}} to the power of {(2n) } = 81
Simplify and solve for n
a A LaTex expression showing n = 2
b A LaTex expression showing n = 3
2
A LaTex expression showing {{3}} to the power of {(2y) } = 81
Simplify and solve for y
a A LaTex expression showing y = 2
b A LaTex expression showing y = 3
3
A LaTex expression showing {{3}} to the power of {(2x) } = 81
Simplify and solve for x
a A LaTex expression showing x = 0
b A LaTex expression showing x = 2
4
A LaTex expression showing {{3}} to the power of {(2q) } = 81
Simplify and solve for q
a A LaTex expression showing q = 0
b A LaTex expression showing q = 2
5
A LaTex expression showing {{3}} to the power of {(2w) } = 81
Simplify and solve for w
a A LaTex expression showing w = 1
b A LaTex expression showing w = 2
6
A LaTex expression showing {{3}} to the power of {(2z) } = 81
Simplify and solve for z
a A LaTex expression showing z = 2
b A LaTex expression showing z = 3
7
A LaTex expression showing {{3}} to the power of {(2r) } = 81
Simplify and solve for r
a A LaTex expression showing r = 0
b A LaTex expression showing r = 2
8
A LaTex expression showing {{3}} to the power of {(2t) } = 81
Simplify and solve for t
a A LaTex expression showing t = 1
b A LaTex expression showing t = 2