This math topic focuses on practicing the division of terms expressed in expanded form and converting the result into exponents. The problems involve dividing positive exponents by positive exponents, resulting in negative exponents. The progression through multiple questions allows for a deep dive into exponent rules, particularly emphasizing understanding and simplifying terms wherein one variable or a series of identical variables are divided by the same variable raised to a higher power. Each question provides several options with different powers, involving both simple reduction cases and more complex scenarios requiring subtraction of exponent values.

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

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