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

This math topic focuses on practicing division of exponents, particularly when both the numerator and the denominator have negative exponents. The objective is to simplify expressions where negative exponents lead to positive results due to the division rules of exponents. Each question presents a division of terms with negative exponents and multiple choice answers to select from, reinforcing the understanding of rules for dividing exponents. It is designed to enhance students' skills in manipulating exponential terms and understanding how negative exponents work during division.

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

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Division - Negative by Negative to Positive

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

Find the answer when these terms are divided

r−5r−12\frac{r^{-5}}{r^{-12}}

Exponents - Division - Negative by Negative to Positive Worksheet

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Math worksheet on 'Exponents - Division - Negative by Negative to Positive (Level 2)'. Part of a broader unit on 'Exponents - Multiplication and Division - Advanced' Learn online: app.mobius.academy/math/units/exponents_multiplication_and_division_advanced/
1
Find the answer when these terms are divided
A LaTex expression showing \frac{c to the power of -8 }{c to the power of -9 }
a A LaTex expression showing c
b A LaTex expression showing c to the power of 3
c A LaTex expression showing c to the power of 2
d A LaTex expression showing c to the power of 4
e A LaTex expression showing 1 over c
f A LaTex expression showing 1
2
Find the answer when these terms are divided
A LaTex expression showing \frac{r to the power of -5 }{r to the power of -12 }
a A LaTex expression showing r to the power of 9
b A LaTex expression showing r to the power of 5
c A LaTex expression showing r to the power of 4
d A LaTex expression showing r to the power of 6
e A LaTex expression showing r to the power of 7
f A LaTex expression showing r to the power of 8
3
Find the answer when these terms are divided
A LaTex expression showing \frac{r to the power of -9 }{r to the power of -11 }
a A LaTex expression showing r to the power of 2
b A LaTex expression showing 1
c A LaTex expression showing r to the power of 4
d A LaTex expression showing r to the power of 3
e A LaTex expression showing r
f A LaTex expression showing r to the power of 5
4
Find the answer when these terms are divided
A LaTex expression showing \frac{x to the power of -9 }{x to the power of -12 }
a A LaTex expression showing x to the power of 4
b A LaTex expression showing x to the power of 5
c A LaTex expression showing x
d A LaTex expression showing x to the power of 6
e A LaTex expression showing x to the power of 2
f A LaTex expression showing x to the power of 3
5
Find the answer when these terms are divided
A LaTex expression showing \frac{b to the power of -4 }{b to the power of -11 }
a A LaTex expression showing b to the power of 7
b A LaTex expression showing b to the power of 8
c A LaTex expression showing b to the power of 10
d A LaTex expression showing b to the power of 6
e A LaTex expression showing b to the power of 9
f A LaTex expression showing b to the power of 5
6
Find the answer when these terms are divided
A LaTex expression showing \frac{d to the power of -8 }{d to the power of -9 }
a A LaTex expression showing 1
b A LaTex expression showing d to the power of 4
c A LaTex expression showing 1 over d
d A LaTex expression showing d
e A LaTex expression showing d to the power of 0
f A LaTex expression showing d to the power of 2
7
Find the answer when these terms are divided
A LaTex expression showing \frac{m to the power of -9 }{m to the power of -12 }
a A LaTex expression showing m to the power of 5
b A LaTex expression showing m to the power of 6
c A LaTex expression showing m
d A LaTex expression showing m to the power of 4
e A LaTex expression showing m to the power of 2
f A LaTex expression showing m to the power of 3