This math topic focuses on practicing division of exponents, specifically transforming expressions in expanded form into exponential form where all bases and exponents are positive. The problems involve dividing terms with similar bases by canceling out common factors in the numerator and the denominator to simplify the expressions further into a final exponent form. Students are expected to apply the rules of exponents, particularly how to handle division, to solve each problem and select the correct answer from multiple choices. This is designed to help improve understanding of exponent manipulation in division contexts.

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

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

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Exponents - Division Expanded Form To Exponents - Positive by Positive to Positive
1
Find the answer when these terms are divided
A LaTex expression showing b multiplied by b multiplied by b multiplied by b multiplied by b multiplied by b over b multiplied by b multiplied by b
a A LaTex expression showing b to the power of 6
b A LaTex expression showing b to the power of 4
c A LaTex expression showing b to the power of 0
d A LaTex expression showing b to the power of 3
e A LaTex expression showing b to the power of 5
f A LaTex expression showing b to the power of 2
2
Find the answer when these terms are divided
A LaTex expression showing x multiplied by x multiplied by x multiplied by x multiplied by x multiplied by x multiplied by x over x multiplied by x multiplied by x multiplied by x multiplied by x
a A LaTex expression showing x to the power of 3
b A LaTex expression showing 1 over x
c A LaTex expression showing x to the power of 4
d A LaTex expression showing x
e A LaTex expression showing x to the power of 2
f A LaTex expression showing 1
3
Find the answer when these terms are divided
A LaTex expression showing 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 multiplied by n multiplied by n
a A LaTex expression showing n to the power of 2
b A LaTex expression showing 1 over n to the power of 2
c A LaTex expression showing 1 over n
d A LaTex expression showing n
e A LaTex expression showing n to the power of 0
f A LaTex expression showing 1 over n to the power of 3
4
Find the answer when these terms are divided
A LaTex expression showing r multiplied by r multiplied by r multiplied by r multiplied by r multiplied by r multiplied by r over r multiplied by r multiplied by r multiplied by r
a A LaTex expression showing r to the power of 4
b A LaTex expression showing r to the power of 3
c A LaTex expression showing 1
d A LaTex expression showing r to the power of 2
e A LaTex expression showing r to the power of 5
f A LaTex expression showing r
5
Find the answer when these terms are divided
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 over c multiplied by c multiplied by c multiplied by c multiplied by c multiplied by c multiplied by c
a A LaTex expression showing c
b A LaTex expression showing 1
c A LaTex expression showing c to the power of 2
d A LaTex expression showing c to the power of 3
e A LaTex expression showing 1 over c to the power of 2
f A LaTex expression showing 1 over c
6
Find the answer when these terms are divided
A LaTex expression showing 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
a A LaTex expression showing b to the power of 0
b A LaTex expression showing 1
c A LaTex expression showing b to the power of 4
d A LaTex expression showing 1 over b
e A LaTex expression showing b to the power of 2
f A LaTex expression showing b
7
Find the answer when these terms are divided
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 multiplied by p
a A LaTex expression showing p to the power of 3
b A LaTex expression showing p to the power of 0
c A LaTex expression showing p
d A LaTex expression showing 1 over p
e A LaTex expression showing 1 over p to the power of 2
f A LaTex expression showing p to the power of 2
8
Find the answer when these terms are divided
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 over z multiplied by z multiplied by z multiplied by z multiplied by z multiplied by z multiplied by z multiplied by z
a A LaTex expression showing z to the power of 2
b A LaTex expression showing z to the power of 3
c A LaTex expression showing 1 over z to the power of 2
d A LaTex expression showing 1 over z
e A LaTex expression showing 1 over z to the power of 3
f A LaTex expression showing z to the power of 0