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Exponents - Power Law - Power of Ten Base with Variable Power to Ten Base with Unknown Power (Level 1)

This math topic focuses on exponents, specifically on using the power law to solve for unknown powers when base 10 is involved with various exponentiations. The problems consist of expressing powers of 10 from larger base numbers like 100, 1000, or 10000, raised to known powers, making students determine the equivalent exponential form with a base of 10. Each problem lists multiple choices for the correct exponent and tests the understanding of representing and simplifying expressions using the laws of exponents, which is an essential skill in algebra.

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

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Power Law - Power of Ten Base with Variable Power to Ten Base with Unknown Power

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.

Solve for the missing exponent (?)

1003=10?100^{3} = 10^{?}

Exponents - Power Law - Power of Ten Base with Variable Power to Ten Base with Unknown Power Worksheet

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Math worksheet on 'Exponents - Power Law - Power of Ten Base with Variable Power to Ten Base with Unknown Power (Level 1)'. Part of a broader unit on 'Exponents - Power Law - Practice' Learn online: app.mobius.academy/math/units/exponents_power_law_practice/
1
Solve for the missing exponent (?)
A LaTex expression showing 10000 to the power of 3 = 10 to the power of ?
a A LaTex expression showing ?=4
b A LaTex expression showing ?=12
c A LaTex expression showing ?=7
d A LaTex expression showing ?=11
e A LaTex expression showing ?=15
f A LaTex expression showing ?=3
2
Solve for the missing exponent (?)
A LaTex expression showing 1000 to the power of 3 = 10 to the power of ?
a A LaTex expression showing ?=11
b A LaTex expression showing ?=15
c A LaTex expression showing ?=4
d A LaTex expression showing ?=18
e A LaTex expression showing ?=3
f A LaTex expression showing ?=9
3
Solve for the missing exponent (?)
A LaTex expression showing 1000 to the power of 2 = 10 to the power of ?
a A LaTex expression showing ?=10
b A LaTex expression showing ?=12
c A LaTex expression showing ?=6
d A LaTex expression showing ?=8
e A LaTex expression showing ?=3
f A LaTex expression showing ?=13
4
Solve for the missing exponent (?)
A LaTex expression showing 10000 to the power of 2 = 10 to the power of ?
a A LaTex expression showing ?=6
b A LaTex expression showing ?=12
c A LaTex expression showing ?=7
d A LaTex expression showing ?=8
e A LaTex expression showing ?=1
f A LaTex expression showing ?=10
5
Solve for the missing exponent (?)
A LaTex expression showing 100 to the power of 3 = 10 to the power of ?
a A LaTex expression showing ?=5
b A LaTex expression showing ?=3
c A LaTex expression showing ?=6
d A LaTex expression showing ?=1
e A LaTex expression showing ?=11
f A LaTex expression showing ?=4
6
Solve for the missing exponent (?)
A LaTex expression showing 100 to the power of 2 = 10 to the power of ?
a A LaTex expression showing ?=6
b A LaTex expression showing ?=7
c A LaTex expression showing ?=12
d A LaTex expression showing ?=3
e A LaTex expression showing ?=8
f A LaTex expression showing ?=4