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

This math topic focuses on applying the power law of exponents. The specific area covered involves changing the base of exponents to solve for an unknown power when the bases are powers of ten (such as 100, 1000, and 10000). Each problem provides an equation involving bases of ten raised to given powers, equivalent to another base of ten raised to an unknown power. Participants are tasked to determine the unknown exponent. The problems offer multiple-choice answers, enhancing understanding in manipulating exponents within the framework of base-ten numbers. It's tailored towards strengthening skills in negative, fractional, and power laws of exponents.

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 Power of 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 (?)

1009=1000?100^{9} = 1000^{?}

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

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Math worksheet on 'Exponents - Power Law - Power of Ten Base with Variable Power to Power of 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 1000 to the power of 4 = 100 to the power of ?
a A LaTex expression showing ?=4
b A LaTex expression showing ?=15
c A LaTex expression showing ?=5
d A LaTex expression showing ?=1
e A LaTex expression showing ?=3
f A LaTex expression showing ?=6
2
Solve for the missing exponent (?)
A LaTex expression showing 1000 to the power of 8 = 10000 to the power of ?
a A LaTex expression showing ?=14
b A LaTex expression showing ?=11
c A LaTex expression showing ?=6
d A LaTex expression showing ?=5
e A LaTex expression showing ?=8
f A LaTex expression showing ?=9
3
Solve for the missing exponent (?)
A LaTex expression showing 10000 to the power of 4 = 100 to the power of ?
a A LaTex expression showing ?=4
b A LaTex expression showing ?=10
c A LaTex expression showing ?=5
d A LaTex expression showing ?=3
e A LaTex expression showing ?=8
f A LaTex expression showing ?=15
4
Solve for the missing exponent (?)
A LaTex expression showing 100 to the power of 12 = 10000 to the power of ?
a A LaTex expression showing ?=14
b A LaTex expression showing ?=13
c A LaTex expression showing ?=4
d A LaTex expression showing ?=1
e A LaTex expression showing ?=3
f A LaTex expression showing ?=6
5
Solve for the missing exponent (?)
A LaTex expression showing 1000 to the power of 6 = 100 to the power of ?
a A LaTex expression showing ?=11
b A LaTex expression showing ?=13
c A LaTex expression showing ?=1
d A LaTex expression showing ?=18
e A LaTex expression showing ?=5
f A LaTex expression showing ?=9
6
Solve for the missing exponent (?)
A LaTex expression showing 100 to the power of 9 = 1000 to the power of ?
a A LaTex expression showing ?=1
b A LaTex expression showing ?=5
c A LaTex expression showing ?=11
d A LaTex expression showing ?=10
e A LaTex expression showing ?=3
f A LaTex expression showing ?=6
7
Solve for the missing exponent (?)
A LaTex expression showing 100 to the power of 8 = 10000 to the power of ?
a A LaTex expression showing ?=1
b A LaTex expression showing ?=4
c A LaTex expression showing ?=2
d A LaTex expression showing ?=11
e A LaTex expression showing ?=5
f A LaTex expression showing ?=8