Power of X plus Power of (X+N) (Level 1)

This math topic focuses on solving equations that involve exponents specifically described as the power of x plus the power of (x+n). It is a part of a broader unit which deals with negative exponents, fractional exponents, and the power law. There are seven questions that challenge students to find the value of x that satisfies various equations, such as \(2^x + 2^{x+1} = 96\) and \(3^x + 3^{x+1} = 108\). The problems provided invite students to apply their understanding of exponent rules and properties to find correct values from multiple choices.

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

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Exponents - Power of X plus Power of (X+N) Worksheet

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Math worksheet on 'Exponents - Power of X plus Power of (X+N) (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
Solve for 'x'
A LaTex expression showing 2 to the power of x + 2 to the power of x + 1 = 96
a
x=8
b
x=9
c
x=3
d
x=2
e
x=1
f
x=5
2
Solve for 'x'
A LaTex expression showing 2 to the power of x + 2 to the power of x + 1 = 24
a
x=12
b
x=9
c
x=1
d
x=3
e
x=7
f
x=2
3
Solve for 'x'
A LaTex expression showing 3 to the power of x + 3 to the power of x + 1 = 108
a
x=6
b
x=4
c
x=2
d
x=5
e
x=3
f
x=7
4
Solve for 'x'
A LaTex expression showing 3 to the power of x + 3 to the power of x + 1 = 36
a
x=2
b
x=10
c
x=11
d
x=6
e
x=3
f
x=5
5
Solve for 'x'
A LaTex expression showing 2 to the power of x + 2 to the power of x + 1 = 12
a
x=2
b
x=5
c
x=10
d
x=9
e
x=4
f
x=3
6
Solve for 'x'
A LaTex expression showing 4 to the power of x + 4 to the power of x + 1 = 80
a
x=9
b
x=5
c
x=2
d
x=7
e
x=1
f
x=4
7
Solve for 'x'
A LaTex expression showing 2 to the power of x + 2 to the power of x + 1 = 48
a
x=7
b
x=5
c
x=12
d
x=10
e
x=4
f
x=1