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

This topic focuses on the skill of dividing exponents, specifically practicing how to solve problems where positive exponents are divided leading to negative fractional exponents. It features multiple-choice questions where students must find the simplified form of expressions such as \(\frac{p^4}{p^6}\) or \(\frac{y^5}{y^{11}}\). Each question provides a division of terms with exponents, and students are tasked to select the correct simplified form from a range of options, all demonstrating variations in negative exponents and their simplifications. This section is part of a broad unit introducing exponent division.

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

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Exponents - Division - Positive by Positive to Negative Fraction Worksheet

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Math worksheet on 'Exponents - Division - Positive 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 3 }{x to the power of 6 }
a A LaTex expression showing 1 over x to the power of 5
b A LaTex expression showing 1 over x
c A LaTex expression showing 1 over x to the power of 2
d A LaTex expression showing 1 over x to the power of 4
e A LaTex expression showing 1 over x to the power of 3
f A LaTex expression showing 1 over x to the power of 6
2
Find the answer when these terms are divided
A LaTex expression showing \frac{c to the power of 7 }{c to the power of 10 }
a A LaTex expression showing 1 over c to the power of 3
b A LaTex expression showing 1 over c
c A LaTex expression showing 1 over c to the power of 2
d A LaTex expression showing 1 over c to the power of 5
e A LaTex expression showing 1 over c to the power of 4
f A LaTex expression showing 1 over c to the power of 6
3
Find the answer when these terms are divided
A LaTex expression showing \frac{n to the power of 8 }{n to the power of 9 }
a A LaTex expression showing n to the power of 0
b A LaTex expression showing 1 over n
c A LaTex expression showing 1 over n to the power of 3
d A LaTex expression showing n
e A LaTex expression showing 1 over n to the power of 4
f A LaTex expression showing 1 over n to the power of 2
4
Find the answer when these terms are divided
A LaTex expression showing \frac{r to the power of 8 }{r to the power of 10 }
a A LaTex expression showing 1
b A LaTex expression showing 1 over r to the power of 2
c A LaTex expression showing 1 over r to the power of 4
d A LaTex expression showing 1 over r to the power of 3
e A LaTex expression showing r to the power of 0
f A LaTex expression showing r
5
Find the answer when these terms are divided
A LaTex expression showing \frac{x to the power of 8 }{x to the power of 11 }
a A LaTex expression showing 1 over x to the power of 3
b A LaTex expression showing 1 over x to the power of 6
c A LaTex expression showing 1 over x to the power of 5
d A LaTex expression showing 1 over x to the power of 2
e A LaTex expression showing 1
f A LaTex expression showing 1 over x to the power of 4
6
Find the answer when these terms are divided
A LaTex expression showing \frac{n to the power of 5 }{n to the power of 8 }
a A LaTex expression showing 1
b A LaTex expression showing 1 over n to the power of 5
c A LaTex expression showing 1 over n to the power of 4
d A LaTex expression showing 1 over n to the power of 2
e A LaTex expression showing 1 over n to the power of 3
f A LaTex expression showing 1 over n
7
Find the answer when these terms are divided
A LaTex expression showing \frac{y to the power of 5 }{y to the power of 9 }
a A LaTex expression showing 1 over y to the power of 7
b A LaTex expression showing 1 over y to the power of 5
c A LaTex expression showing 1 over y to the power of 3
d A LaTex expression showing 1 over y to the power of 4
e A LaTex expression showing 1 over y to the power of 6
f A LaTex expression showing 1 over y to the power of 2