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Exponents - Division - Negative by Negative to Positive (Level 1)

This math topic focuses on practicing the division of exponents, specifically when both the numerator and the denominator have negative powers, leading to a positive result. It's part of an introductory unit on exponent division. Each problem provides a division expression with variables raised to negative exponents, and multiple choice answers for what the simplified expression equals. The problems help reinforce understanding of exponent rules, particularly how to handle negative exponents during division operations.

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

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Division - Negative by Negative to Positive

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Find the answer when these terms are divided

c−3c−4\frac{c^{-3}}{c^{-4}}

Exponents - Division - Negative by Negative to Positive Worksheet

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Math worksheet on 'Exponents - Division - Negative by Negative to Positive (Level 1)'. Part of a broader unit on 'Exponents - Multiplication and Division - Advanced' Learn online: app.mobius.academy/math/units/exponents_multiplication_and_division_advanced/
1
Find the answer when these terms are divided
A LaTex expression showing \frac{c to the power of -3 }{c to the power of -4 }
a A LaTex expression showing c to the power of 0
b A LaTex expression showing c to the power of 3
c A LaTex expression showing c
d A LaTex expression showing c to the power of 2
e A LaTex expression showing 1 over c
f A LaTex expression showing c to the power of 4
2
Find the answer when these terms are divided
A LaTex expression showing \frac{z to the power of -4 }{z to the power of -5 }
a A LaTex expression showing z to the power of 2
b A LaTex expression showing z
c A LaTex expression showing 1
d A LaTex expression showing 1 over z to the power of 2
e A LaTex expression showing 1 over z
f A LaTex expression showing z to the power of 0
3
Find the answer when these terms are divided
A LaTex expression showing \frac{m to the power of -3 }{m to the power of -5 }
a A LaTex expression showing m to the power of 3
b A LaTex expression showing m to the power of 4
c A LaTex expression showing 1 over m
d A LaTex expression showing m to the power of 2
e A LaTex expression showing m
f A LaTex expression showing 1
4
Find the answer when these terms are divided
A LaTex expression showing \frac{y to the power of -3 }{y to the power of -4 }
a A LaTex expression showing y
b A LaTex expression showing y to the power of 4
c A LaTex expression showing y to the power of 2
d A LaTex expression showing 1 over y to the power of 2
e A LaTex expression showing 1 over y
f A LaTex expression showing 1
5
Find the answer when these terms are divided
A LaTex expression showing \frac{p to the power of -4 }{p to the power of -5 }
a A LaTex expression showing 1 over p
b A LaTex expression showing p to the power of 2
c A LaTex expression showing p to the power of 4
d A LaTex expression showing p
e A LaTex expression showing p to the power of 0
f A LaTex expression showing p to the power of 3
6
Find the answer when these terms are divided
A LaTex expression showing \frac{y to the power of -3 }{y to the power of -5 }
a A LaTex expression showing y to the power of 5
b A LaTex expression showing y to the power of 3
c A LaTex expression showing y to the power of 4
d A LaTex expression showing 1
e A LaTex expression showing y to the power of 2
f A LaTex expression showing y
7
Find the answer when these terms are divided
A LaTex expression showing \frac{m to the power of -3 }{m to the power of -4 }
a A LaTex expression showing m to the power of 3
b A LaTex expression showing m to the power of 2
c A LaTex expression showing 1 over m
d A LaTex expression showing 1
e A LaTex expression showing m to the power of 4
f A LaTex expression showing m