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

This math topic focuses on practicing division of exponents, specifically converting expressions from expanded form to expanded form while transitioning from positive exponents to negative exponents. It presents multiple examples where students are tasked with simplifying expressions containing powers of a single variable by canceling out terms. The problems are set in a progressive manner, increasing in complexity, allowing students to enhance their understanding and skills systematically in handling exponents when dividing similar bases. The worksheet consists of several questions, each providing various answer options represented in expanded exponential form.

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 Negative

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

Cancel out terms to find the final result

p×p×p×p×p×pp×p×p×p×p×p×p×p\frac{p \times p \times p \times p \times p \times p}{p \times p \times p \times p \times p \times p \times p \times p}

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

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Math worksheet on 'Exponents - Division Expanded Form To Expanded - Positive by Positive to Negative (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 c multiplied by c multiplied by c multiplied by c multiplied by c over c multiplied by c multiplied by c multiplied by c multiplied by c multiplied by c
a A LaTex expression showing 1 over c
b A LaTex expression showing c multiplied by c multiplied by c multiplied by c multiplied by c multiplied by c
c A LaTex expression showing 1 over c multiplied by c multiplied by c multiplied by c multiplied by c multiplied by c multiplied by c multiplied by c multiplied by c
d A LaTex expression showing c
e A LaTex expression showing 1 over c multiplied by c multiplied by c
f A LaTex expression showing c multiplied by c multiplied by c multiplied by c multiplied by c multiplied by c multiplied by c multiplied by c
2
Cancel out terms to find the final result
A LaTex expression showing p multiplied by p multiplied by p over p multiplied by p multiplied by p multiplied by p multiplied by p multiplied by p multiplied by p
a A LaTex expression showing p multiplied by p
b A LaTex expression showing p
c A LaTex expression showing 1 over 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
e A LaTex expression showing 1 over p multiplied by p multiplied by p multiplied by p multiplied by 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 multiplied by p
3
Cancel out terms to find the final result
A LaTex expression showing 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 multiplied by b multiplied by b
a A LaTex expression showing 1 over b multiplied by b multiplied by b multiplied by b
b A LaTex expression showing 1 over b multiplied by 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
d A LaTex expression showing b
e A LaTex expression showing 1 over b multiplied by b multiplied by b multiplied by b multiplied by b multiplied by b multiplied by b
f A LaTex expression showing 1 over b multiplied by b
4
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 multiplied by b multiplied by b
a A LaTex expression showing 1 over b
b A LaTex expression showing 1 over b multiplied by b multiplied by b
c A LaTex expression showing 1 over b multiplied by b multiplied by b multiplied by b multiplied by b
d A LaTex expression showing b multiplied by b multiplied by b multiplied by b multiplied by b
e A LaTex expression showing b to the power of 0
f A LaTex expression showing b multiplied by b multiplied by b
5
Cancel out terms to find the final result
A LaTex expression showing z multiplied by z multiplied by z multiplied by z over z multiplied by z multiplied by z multiplied by z multiplied by z multiplied by z
a 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 multiplied by z
b A LaTex expression showing z
c A LaTex expression showing 1 over z
d A LaTex expression showing 1 over z multiplied by z multiplied by z multiplied by z multiplied by z multiplied by z
e A LaTex expression showing 1 over z multiplied by z
f A LaTex expression showing 1 over z multiplied by z multiplied by z multiplied by z multiplied by z multiplied by z multiplied by z
6
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 over p multiplied by p multiplied by p multiplied by p multiplied by p multiplied by p multiplied by p multiplied by p
a A LaTex expression showing p multiplied by p multiplied by p multiplied by p multiplied by p multiplied by p
b A LaTex expression showing 1 over 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
c A LaTex expression showing p
d A LaTex expression showing 1 over p multiplied by p
e A LaTex expression showing 1 over p
f A LaTex expression showing p to the power of 0
7
Cancel out terms to find the final result
A LaTex expression showing n multiplied by n multiplied by n over n multiplied by n multiplied by n multiplied by n multiplied by n multiplied by n multiplied by n multiplied by n
a A LaTex expression showing 1 over 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 multiplied by n multiplied by n
c A LaTex expression showing n multiplied by n
d A LaTex expression showing 1 over n multiplied by n multiplied by n multiplied by n multiplied by n
e A LaTex expression showing 1 over n multiplied by n multiplied by n multiplied by n
f A LaTex expression showing n to the power of 0