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Exponents - Division - Negative by Positive to Negative Fraction (Level 2)

This math topic revolves around practicing the division of exponential terms where both negative exponents and fractional results appear. It involves dividing terms of the form \( \frac{m^{-a}}{m^b} \), requiring learners to apply rules of exponents to simplify expressions correctly. Problems entail finding the simplified forms of such divisions, which are crucial for understanding how to handle negative exponents and execute division operations within the realm of exponents. The problems span various base variables such as \( m, p, d \), and \( x \), providing a comprehensive practice on the topic.

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

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Division - Negative by Positive to Negative Fraction

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


Find the answer when these terms are divided

z−7z3\frac{z^{-7}}{z^{3}}

Exponents - Division - Negative by Positive to Negative Fraction Worksheet

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Math worksheet on 'Exponents - Division - Negative by Positive to Negative Fraction (Level 2)'. Part of a broader unit on 'Exponents - Division - Intro' Learn online: app.mobius.academy/math/units/exponents_division_intro/
1
Find the answer when these terms are divided
A LaTex expression showing \frac{x to the power of -7 }{x to the power of 3 }
a A LaTex expression showing 1 over x to the power of 11
b A LaTex expression showing 1 over x to the power of 7
c A LaTex expression showing 1 over x to the power of 13
d A LaTex expression showing 1 over x to the power of 12
e A LaTex expression showing 1 over x to the power of 10
f A LaTex expression showing 1 over x to the power of 8
2
Find the answer when these terms are divided
A LaTex expression showing \frac{c to the power of -6 }{c to the power of 4 }
a A LaTex expression showing 1 over c to the power of 10
b A LaTex expression showing 1 over c to the power of 7
c A LaTex expression showing 1 over c to the power of 11
d A LaTex expression showing 1 over c to the power of 13
e A LaTex expression showing 1 over c to the power of 9
f A LaTex expression showing 1 over c to the power of 12
3
Find the answer when these terms are divided
A LaTex expression showing \frac{x to the power of -8 }{x to the power of 4 }
a A LaTex expression showing 1 over x to the power of 9
b A LaTex expression showing 1 over x to the power of 13
c A LaTex expression showing 1 over x to the power of 12
d A LaTex expression showing 1 over x to the power of 10
e A LaTex expression showing 1 over x to the power of 11
f A LaTex expression showing 1 over x to the power of 14
4
Find the answer when these terms are divided
A LaTex expression showing \frac{r to the power of -6 }{r to the power of 3 }
a A LaTex expression showing 1 over r to the power of 10
b A LaTex expression showing 1 over r to the power of 11
c A LaTex expression showing 1 over r to the power of 7
d A LaTex expression showing 1 over r to the power of 6
e A LaTex expression showing 1 over r to the power of 8
f A LaTex expression showing 1 over r to the power of 9
5
Find the answer when these terms are divided
A LaTex expression showing \frac{m to the power of -8 }{m to the power of 3 }
a A LaTex expression showing 1 over m to the power of 10
b A LaTex expression showing 1 over m to the power of 12
c A LaTex expression showing 1 over m to the power of 8
d A LaTex expression showing 1 over m to the power of 9
e A LaTex expression showing 1 over m to the power of 13
f A LaTex expression showing 1 over m to the power of 11
6
Find the answer when these terms are divided
A LaTex expression showing \frac{z to the power of -6 }{z to the power of 3 }
a A LaTex expression showing 1 over z to the power of 8
b A LaTex expression showing 1 over z to the power of 11
c A LaTex expression showing 1 over z to the power of 12
d A LaTex expression showing 1 over z to the power of 7
e A LaTex expression showing 1 over z to the power of 9
f A LaTex expression showing 1 over z to the power of 10
7
Find the answer when these terms are divided
A LaTex expression showing \frac{m to the power of -7 }{m to the power of 3 }
a A LaTex expression showing 1 over m to the power of 7
b A LaTex expression showing 1 over m to the power of 12
c A LaTex expression showing 1 over m to the power of 8
d A LaTex expression showing 1 over m to the power of 11
e A LaTex expression showing 1 over m to the power of 10
f A LaTex expression showing 1 over m to the power of 9