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Exponents - Division Expanded Form To Expanded - Positive by Positive to Positive (Level 2)

This math topic focuses on practicing division of exponents where all terms are positive, covering techniques for simplifying expressions by canceling out terms. Each problem presents a fraction of exponential terms where students must reduce the expression to its simplest form. Multiple choice answers are provided for each question, involving different outcomes from the simplification process. The skills practiced include understanding and applying the laws of exponents, particularly the quotient rule in different scenarios.

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

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Division Expanded Form To Expanded - Positive by Positive to Positive

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

Cancel out terms to find the final result

b×b×b×b×b×b×bb×b×b×b×b×b\frac{b \times b \times b \times b \times b \times b \times b}{b \times b \times b \times b \times b \times b}

Exponents - Division Expanded Form To Expanded - Positive by Positive to Positive Worksheet

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Math worksheet on 'Exponents - Division Expanded Form To Expanded - Positive by Positive to Positive (Level 2)'. Part of a broader unit on 'Exponents - Division - Intro' Learn online: app.mobius.academy/math/units/exponents_division_intro/
1
Cancel out terms to find the final result
A LaTex expression showing b multiplied by b multiplied by b multiplied by b multiplied by b multiplied by b multiplied by b over b multiplied by b multiplied by b multiplied by b multiplied by b multiplied by b
a A LaTex expression showing b multiplied by b
b A LaTex expression showing b multiplied by b multiplied by b multiplied by b multiplied by b multiplied by b multiplied by b
c A LaTex expression showing b multiplied by b multiplied by b
d A LaTex expression showing b
e A LaTex expression showing b multiplied by b multiplied by b multiplied by b
f A LaTex expression showing b multiplied by b multiplied by b multiplied by b multiplied by b multiplied by b multiplied by b multiplied by b multiplied by b
2
Cancel out terms to find the final result
A LaTex expression showing y multiplied by y multiplied by y multiplied by y multiplied by y multiplied by y multiplied by y multiplied by y over y multiplied by y multiplied by y multiplied by y multiplied by y multiplied by y multiplied by y multiplied by y
a A LaTex expression showing y multiplied by y multiplied by y multiplied by y multiplied by y
b A LaTex expression showing y multiplied by y
c A LaTex expression showing y multiplied by y multiplied by y multiplied by y multiplied by y multiplied by y multiplied by y multiplied by y
d A LaTex expression showing y to the power of 0
e A LaTex expression showing y multiplied by y multiplied by y
f A LaTex expression showing y
3
Cancel out terms to find the final result
A LaTex expression showing z multiplied by z multiplied by z multiplied by z multiplied by z multiplied by z over z multiplied by z multiplied by z multiplied by z multiplied by z
a A LaTex expression showing z
b A LaTex expression showing z multiplied by z multiplied by z
c A LaTex expression showing z multiplied by z
d A LaTex expression showing z multiplied by z multiplied by z multiplied by z multiplied by z multiplied by z multiplied by z multiplied by z
e A LaTex expression showing z multiplied by z multiplied by z multiplied by z multiplied by z multiplied by z multiplied by z
f A LaTex expression showing z multiplied by z multiplied by z multiplied by z multiplied by z multiplied by z
4
Cancel out terms to find the final result
A LaTex expression showing n multiplied by n multiplied by n multiplied by n multiplied by n multiplied by n multiplied by n over n multiplied by n multiplied by n multiplied by n
a A LaTex expression showing n multiplied by n multiplied by n multiplied by n multiplied by n multiplied by n
b A LaTex expression showing n
c A LaTex expression showing n multiplied by n
d A LaTex expression showing n multiplied by n multiplied by n multiplied by n
e A LaTex expression showing n multiplied by n multiplied by n multiplied by n multiplied by n multiplied by n multiplied by n multiplied by n multiplied by n
f A LaTex expression showing n multiplied by n multiplied by n
5
Cancel out terms to find the final result
A LaTex expression showing m multiplied by m multiplied by m multiplied by m multiplied by m multiplied by m over m multiplied by m multiplied by m
a A LaTex expression showing m multiplied by m multiplied by m multiplied by m multiplied by m multiplied by m multiplied by m multiplied by m multiplied by m
b A LaTex expression showing m multiplied by m
c A LaTex expression showing m multiplied by m multiplied by m multiplied by m multiplied by m multiplied by m
d A LaTex expression showing 1
e A LaTex expression showing m multiplied by m multiplied by m
6
Cancel out terms to find the final result
A LaTex expression showing n multiplied by n multiplied by n multiplied by n multiplied by n multiplied by n multiplied by n multiplied by n over n multiplied by n multiplied by n
a A LaTex expression showing n multiplied by n multiplied by n multiplied by n multiplied by n multiplied by n
b A LaTex expression showing n multiplied by n multiplied by n multiplied by n multiplied by n multiplied by n multiplied by n
c A LaTex expression showing n multiplied by n multiplied by n multiplied by n multiplied by n
d A LaTex expression showing n
e A LaTex expression showing n multiplied by n multiplied by n multiplied by n multiplied by n multiplied by n multiplied by n multiplied by n
f A LaTex expression showing n multiplied by n multiplied by n multiplied by n multiplied by n multiplied by n multiplied by n multiplied by n multiplied by n
7
Cancel out terms to find the final result
A LaTex expression showing p multiplied by p multiplied by p multiplied by p multiplied by p multiplied by p multiplied by p over p multiplied by p multiplied by p multiplied by p multiplied by p multiplied by p
a A LaTex expression showing p
b A LaTex expression showing p multiplied by p multiplied by p multiplied by p multiplied by p multiplied by p multiplied by p multiplied by p
c A LaTex expression showing p multiplied by p multiplied by p multiplied by p multiplied by p multiplied by p multiplied by p multiplied by p multiplied by p
d A LaTex expression showing p multiplied by p multiplied by p multiplied by p multiplied by p
e A LaTex expression showing p multiplied by p multiplied by p multiplied by p
f A LaTex expression showing p multiplied by p multiplied by p multiplied by p multiplied by p multiplied by p