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Exponents - Division Answer First - Positive by Positive to Negative (Level 1)

This math topic focuses on practicing the simplification of expressions using exponents in division, particularly examining the outcomes when dividing positive exponents by positive to achieve negative results. It involves identifying which division operation between powers of a variable yields a designated fractional or negative exponent result. This introductory part of a broader unit on exponents and division includes questions where students are presented with a target exponent form and multiple choice options of divisions that could lead to that form, enhancing their understanding of exponent rules.

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

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Division Answer First - Positive by Positive to Negative

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Which division would result in this exponent

1n2\frac{1}{n^{2}}

Exponents - Division Answer First - Positive by Positive to Negative Worksheet

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Math worksheet on 'Exponents - Division Answer First - Positive by Positive to Negative (Level 1)'. Part of a broader unit on 'Exponents - Division - Intro' Learn online: app.mobius.academy/math/units/exponents_division_intro/
1
Which division would result in this exponent
A LaTex expression showing 1 over y
a A LaTex expression showing \frac{y to the power of 1 }{y to the power of 2 }
b A LaTex expression showing \frac{y to the power of 1 }{y to the power of 1 }
c A LaTex expression showing \frac{y to the power of 2 }{y to the power of 2 }
d A LaTex expression showing \frac{y to the power of 1 }{y to the power of 0 }
e A LaTex expression showing \frac{y to the power of 0 }{y to the power of 2 }
2
Which division would result in this exponent
A LaTex expression showing 1 over x
a A LaTex expression showing \frac{x to the power of 0 }{x to the power of 2 }
b A LaTex expression showing \frac{x to the power of 1 }{x to the power of -1 }
c A LaTex expression showing \frac{x to the power of 1 }{x to the power of 4 }
d A LaTex expression showing \frac{x to the power of -1 }{x to the power of 2 }
e A LaTex expression showing \frac{x to the power of 1 }{x to the power of 2 }
3
Which division would result in this exponent
A LaTex expression showing 1 over m
a A LaTex expression showing \frac{m to the power of 1 }{m to the power of 3 }
b A LaTex expression showing \frac{m to the power of 2 }{m to the power of 5 }
c A LaTex expression showing \frac{m to the power of 2 }{m to the power of 3 }
d A LaTex expression showing \frac{m to the power of 4 }{m to the power of 3 }
4
Which division would result in this exponent
A LaTex expression showing 1 over n to the power of 2
a A LaTex expression showing \frac{n to the power of 0 }{n to the power of 3 }
b A LaTex expression showing \frac{n to the power of 1 }{n to the power of 2 }
c A LaTex expression showing \frac{n to the power of 1 }{n to the power of 5 }
d A LaTex expression showing \frac{n to the power of 1 }{n to the power of 3 }
e A LaTex expression showing \frac{n to the power of -2 }{n to the power of 3 }
5
Which division would result in this exponent
A LaTex expression showing 1 over c
a A LaTex expression showing \frac{c to the power of 1 }{c to the power of 2 }
b A LaTex expression showing \frac{c to the power of 2 }{c to the power of 2 }
c A LaTex expression showing \frac{c to the power of 1 }{c to the power of 4 }
d A LaTex expression showing \frac{c to the power of 0 }{c to the power of 2 }
e A LaTex expression showing \frac{c to the power of 1 }{c to the power of 1 }
6
Which division would result in this exponent
A LaTex expression showing 1 over r to the power of 3
a A LaTex expression showing \frac{r to the power of -1 }{r to the power of 4 }
b A LaTex expression showing \frac{r to the power of 1 }{r to the power of 4 }
c A LaTex expression showing \frac{r to the power of 1 }{r to the power of 1 }
d A LaTex expression showing \frac{r to the power of -2 }{r to the power of 4 }
7
Which division would result in this exponent
A LaTex expression showing 1 over p
a A LaTex expression showing \frac{p to the power of -2 }{p to the power of 2 }
b A LaTex expression showing \frac{p to the power of 1 }{p to the power of 2 }
c A LaTex expression showing \frac{p to the power of 1 }{p to the power of 1 }
d A LaTex expression showing \frac{p to the power of 1 }{p to the power of 3 }