Power of N added N Times (Level 2)

This math topic focuses on solving equations involving exponents, specifically exercising the multiplication of powers with the same base. It covers scenarios where the same exponent expression is added multiple times and equated to another power of the same base, prompting the learner to solve for the variable exponent. The questions involve different bases and powers, enhancing understanding of exponent rules like power laws and potential properties of logarithms for solving them. The problems are intended for learners to apply and deepen their knowledge in handling powers and exponents in algebraic contexts.

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Exponents - Power of N added N Times Worksheet

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Math worksheet on 'Exponents - Power of N added N Times (Level 2)'. 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 8 +2 to the power of 8 +2 to the power of 8 +2 to the power of 8 =2 to the power of x
a
x=4
b
x=16
c
x=17
d
x=19
e
x=18
f
x=10
2
Solve for 'x'
A LaTex expression showing 3 to the power of 6 +3 to the power of 6 +3 to the power of 6 =3 to the power of x
a
x=9
b
x=5
c
x=14
d
x=7
e
x=8
f
x=2
3
Solve for 'x'
A LaTex expression showing 2 to the power of 2 +2 to the power of 2 +2 to the power of 2 +2 to the power of 2 =2 to the power of x
a
x=9
b
x=6
c
x=10
d
x=12
e
x=4
f
x=8
4
Solve for 'x'
A LaTex expression showing 4 to the power of 3 +4 to the power of 3 +4 to the power of 3 +4 to the power of 3 =4 to the power of x
a
x=10
b
x=5
c
x=6
d
x=1
e
x=12
f
x=4
5
Solve for 'x'
A LaTex expression showing 2 to the power of 4 +2 to the power of 4 +2 to the power of 4 +2 to the power of 4 =2 to the power of x
a
x=8
b
x=2
c
x=15
d
x=6
e
x=1
f
x=4
6
Solve for 'x'
A LaTex expression showing 2 to the power of 6 +2 to the power of 6 +2 to the power of 6 +2 to the power of 6 =2 to the power of x
a
x=5
b
x=11
c
x=4
d
x=14
e
x=1
f
x=8
7
Solve for 'x'
A LaTex expression showing 3 to the power of 2 +3 to the power of 2 +3 to the power of 2 =3 to the power of x
a
x=6
b
x=10
c
x=5
d
x=9
e
x=12
f
x=3
Exponents - Power of N added N Times (Level 2) - Mobius Math Academy