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

This math topic focuses on understanding the rules of dividing exponents, particularly when both exponents are negative. It involves simplifying expressions where the numerator and denominator have negative exponents, converting such division into multiplication with positive exponents, finding the correct simplification option from multiple choices. The problems challenge students to correctly apply exponent division rules and identify the resulting expression when base variables raised to negative powers are divided. Each question presents different scenarios of negative exponent division, and students must select the correct simplified form among multiple choices.

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

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Exponents - Division - Negative by Negative to Negative Fraction Worksheet

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Math worksheet on 'Exponents - Division - Negative by Negative 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{r to the power of -12 }{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 6
c A LaTex expression showing 1 over r to the power of 8
d A LaTex expression showing 1 over r to the power of 9
e A LaTex expression showing 1 over r to the power of 11
f A LaTex expression showing 1 over r to the power of 7
2
Find the answer when these terms are divided
A LaTex expression showing \frac{p to the power of -9 }{p to the power of -6 }
a A LaTex expression showing 1 over p to the power of 6
b A LaTex expression showing p to the power of 0
c A LaTex expression showing 1 over p to the power of 2
d A LaTex expression showing 1 over p to the power of 4
e A LaTex expression showing 1 over p to the power of 3
f A LaTex expression showing 1 over p to the power of 5
3
Find the answer when these terms are divided
A LaTex expression showing \frac{x to the power of -11 }{x to the power of -3 }
a A LaTex expression showing 1 over x to the power of 8
b A LaTex expression showing 1 over x to the power of 5
c A LaTex expression showing 1 over x to the power of 9
d A LaTex expression showing 1 over x to the power of 6
e A LaTex expression showing 1 over x to the power of 7
f A LaTex expression showing 1 over x to the power of 10
4
Find the answer when these terms are divided
A LaTex expression showing \frac{x to the power of -6 }{x to the power of -3 }
a A LaTex expression showing 1 over x
b A LaTex expression showing 1 over x to the power of 5
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 2
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 3
5
Find the answer when these terms are divided
A LaTex expression showing \frac{r to the power of -9 }{r to the power of -6 }
a A LaTex expression showing 1 over r to the power of 3
b A LaTex expression showing r to the power of 0
c A LaTex expression showing 1 over r to the power of 5
d A LaTex expression showing 1 over r to the power of 4
e A LaTex expression showing 1 over r to the power of 2
f A LaTex expression showing 1 over r
6
Find the answer when these terms are divided
A LaTex expression showing \frac{z to the power of -11 }{z to the power of -4 }
a A LaTex expression showing 1 over z to the power of 6
b A LaTex expression showing 1 over z to the power of 9
c A LaTex expression showing 1 over z to the power of 7
d A LaTex expression showing 1 over z to the power of 8
e A LaTex expression showing 1 over z to the power of 5
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{c to the power of -11 }{c to the power of -8 }
a A LaTex expression showing 1 over c to the power of 5
b A LaTex expression showing 1
c A LaTex expression showing c to the power of 0
d A LaTex expression showing 1 over c to the power of 4
e A LaTex expression showing 1 over c to the power of 6
f A LaTex expression showing 1 over c to the power of 3