Algebra with Exponents - Binomial and Constant

Level 1

This math topic concerns algebraic operations with exponents, specifically involving binomials and constants. The problems involve simplifying exponential equations and solving for unknown variables. Each question presents an equation where a base raised to a binomial exponent equals a constant. The learners are required to determine the value of the variable that satisfies the equation. Various powers and roots are used within the context of exponents, including negative and fractional powers. The structure is aimed at reinforcing capabilities in manipulating and solving exponential functions in algebra.

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

more

Algebra with Exponents - Binomial and Constant Worksheet

Mobius Math Academy logo
Algebra with Exponents - Binomial and Constant
1
A LaTex expression showing {{6}} to the power of {(q + 7) } = 36
Simplify and solve for q
a A LaTex expression showing q = -1
b A LaTex expression showing q = -5
2
A LaTex expression showing {{6}} to the power of {(m + 4) } = 216
Simplify and solve for m
a A LaTex expression showing m = -1
b A LaTex expression showing m = 0
3
A LaTex expression showing {{5}} to the power of {(r + 7) } = 25
Simplify and solve for r
a A LaTex expression showing r = -5
b A LaTex expression showing r = 9
4
A LaTex expression showing {{2}} to the power of {(y + 8) } = 32
Simplify and solve for y
a A LaTex expression showing y = -3
b A LaTex expression showing y = 2
5
A LaTex expression showing {{4}} to the power of {(y - 8) } = 64
Simplify and solve for y
a A LaTex expression showing y = 11
b A LaTex expression showing y = -5
6
A LaTex expression showing {{3}} to the power of {(x - 8) } = 81
Simplify and solve for x
a A LaTex expression showing x = 12
b A LaTex expression showing x = -4
7
A LaTex expression showing {{6}} to the power of {(m - 8) } = 36
Simplify and solve for m
a A LaTex expression showing m = -6
b A LaTex expression showing m = 10
8
A LaTex expression showing {{4}} to the power of {(t - 7) } = 16
Simplify and solve for t
a A LaTex expression showing t = -1
b A LaTex expression showing t = 9