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

This math topic focuses on practicing division of exponential terms involving positive exponents. Each problem presents an expression where a variable raised to a higher exponent is divided by the same variable raised to a lower exponent. Students must simplify these expressions to find the correct resultant exponent. The topic is designed to help learners understand the rule when dividing like bases with exponents, emphasizing that the exponents should be subtracted (power of the numerator minus the power of the denominator). Learners are provided with multiple choice answers for each question where they need to select the correct simplified form.

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

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Division - Positive by Positive to Positive

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Find the answer when these terms are divided

c9c3\frac{c^{9}}{c^{3}}

Exponents - Division - Positive by Positive to Positive Worksheet

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