Division - Negative by Negative to Negative Fraction (Level 1)

This math topic focuses on the rules and applications of divisions involving exponents, specifically when both the base and exponents are negative. It aims to deepen understanding of how to simplify fractions of exponential terms to either positive or negative powers, and how division can affect the sign and magnitude of exponents. The problems include various bases with negative exponents being divided, and the answers provided are expressed in exponential form, either in positive or reciprocal formats. This serves as a skill-enhancing exercise for manipulating exponents under division operations.

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

more
View

Exponents - Division - Negative by Negative to Negative Fraction Worksheet

Mobius Math Academy logo
Math worksheet on 'Exponents - Division - Negative by Negative to Negative Fraction (Level 1)'. 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 -4 }{r to the power of -4 }
a A LaTex expression showing r to the power of 0
b A LaTex expression showing r
c A LaTex expression showing 1 over r to the power of 2
d A LaTex expression showing r to the power of 2
e A LaTex expression showing 1 over r
f A LaTex expression showing r to the power of 3
2
Find the answer when these terms are divided
A LaTex expression showing \frac{d to the power of -5 }{d to the power of -2 }
a A LaTex expression showing 1 over d to the power of 4
b A LaTex expression showing 1
c A LaTex expression showing 1 over d to the power of 3
d A LaTex expression showing 1 over d
e A LaTex expression showing 1 over d to the power of 2
f A LaTex expression showing 1 over d to the power of 5
3
Find the answer when these terms are divided
A LaTex expression showing \frac{x to the power of -4 }{x to the power of -1 }
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 2
c A LaTex expression showing 1 over x to the power of 4
d A LaTex expression showing x to the power of 0
e A LaTex expression showing 1 over x
f A LaTex expression showing 1 over x to the power of 5
4
Find the answer when these terms are divided
A LaTex expression showing \frac{n to the power of -4 }{n to the power of -2 }
a A LaTex expression showing 1 over n to the power of 2
b A LaTex expression showing 1 over n to the power of 4
c A LaTex expression showing 1 over n to the power of 3
d A LaTex expression showing n to the power of 0
e A LaTex expression showing 1 over n to the power of 5
f A LaTex expression showing n
5
Find the answer when these terms are divided
A LaTex expression showing \frac{z to the power of -3 }{z to the power of -1 }
a A LaTex expression showing 1 over z to the power of 3
b A LaTex expression showing z
c A LaTex expression showing 1 over z
d A LaTex expression showing 1 over z to the power of 4
e A LaTex expression showing z to the power of 0
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 \frac{d to the power of -4 }{d to the power of -2 }
a A LaTex expression showing 1
b A LaTex expression showing d
c A LaTex expression showing d to the power of 0
d A LaTex expression showing 1 over d to the power of 4
e A LaTex expression showing 1 over d to the power of 2
f A LaTex expression showing 1 over d to the power of 3
7
Find the answer when these terms are divided
A LaTex expression showing \frac{p to the power of -4 }{p to the power of -1 }
a A LaTex expression showing 1 over p to the power of 6
b A LaTex expression showing 1 over p to the power of 3
c A LaTex expression showing 1 over p to the power of 4
d A LaTex expression showing 1
e A LaTex expression showing 1 over p
f A LaTex expression showing 1 over p to the power of 2