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

This math topic focuses on practicing the division of exponents, particularly dividing positive exponents by positive exponents resulting in negative exponents. The problems require understanding how to properly handle base variables raised to differing powers and simplifying them to their correct negative exponent forms when the exponent of the numerator is smaller than the denominator's. The topic provides multiple choice responses for the students to practice and verify their skills in working with the laws of exponents in division, enhancing their mastery of manipulating powers in mathematical expressions.

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

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Division - Positive by Positive to Negative

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


Find the answer when these terms are divided

y3y6\frac{y^{3}}{y^{6}}

Exponents - Division - Positive by Positive to Negative Worksheet

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