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Radicals - Convert Square Root, Values and Variables, to Exponents - Negative (Level 1)

This math topic focuses on converting radicals to fractional exponents, specifically addressing negative exponents. It includes a series of problems where learners convert expressions with square roots involving both constants and variables into equivalent forms with exponents. Each problem provides multiple choice answers, allowing learners to select the correctly transformed expression using fractional negative exponents. This subject is a part of a broader introduction to simplifying radicals. The exercises are designed to enhance understanding of the relationship between radical and exponential forms.

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

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Convert Square Root, Values and Variables, to Exponents - Negative

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

Convert the radical to a fractional exponent

12n\frac{1}{\sqrt{2n}}

Radicals - Convert Square Root, Values and Variables, to Exponents - Negative Worksheet

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Math worksheet on 'Radicals - Convert Square Root, Values and Variables, to Exponents - Negative (Level 1)'. Part of a broader unit on 'Radicals - Simplifying Intro' Learn online: app.mobius.academy/math/units/radicals_simplifying_intro/
1
Convert the radical to a fractional exponent
A LaTex expression showing 1 over square root of 2r
a A LaTex expression showing 2 to the power of 1 over 2 times r to the power of 1 over 2
b A LaTex expression showing 2 to the power of -1 over 2 times r to the power of -1 over 2
c A LaTex expression showing 6 to the power of -1 over 2 times r to the power of -1 over 2
d A LaTex expression showing 2 to the power of -1 over 3 times r to the power of -1 over 3
e A LaTex expression showing 4 to the power of -1 over 2 times r to the power of -1 over 2
f A LaTex expression showing 2 to the power of -1 over 2 times {r} to the power of -2 over 2
2
Convert the radical to a fractional exponent
A LaTex expression showing 1 over square root of 11{x to the power of 3 }
a A LaTex expression showing 11 to the power of -1 over 2 times {x} to the power of -5 over 2
b A LaTex expression showing 11 to the power of 1 over 2 times {x} to the power of 3 over 2
c A LaTex expression showing 11 to the power of -1 over 2 times {x} to the power of -2 over 2
d A LaTex expression showing 11 to the power of -1 over 3 times {x} to the power of -3 over 3
e A LaTex expression showing 22 to the power of -1 over 2 times {x} to the power of -3 over 2
f A LaTex expression showing 11 to the power of -1 over 2 times {x} to the power of -3 over 2
3
Convert the radical to a fractional exponent
A LaTex expression showing 1 over square root of 7x
a A LaTex expression showing 7 to the power of -1 over 2 times x to the power of -1 over 2
b A LaTex expression showing 28 to the power of -1 over 2 times x to the power of -1 over 2
c A LaTex expression showing 7 to the power of -1 over 2 times {x} to the power of -2 over 2
d A LaTex expression showing 21 to the power of -1 over 2 times x to the power of -1 over 2
e A LaTex expression showing 7 to the power of -1 over 2
f A LaTex expression showing 7 to the power of 1 over 2 times x to the power of 1 over 2
4
Convert the radical to a fractional exponent
A LaTex expression showing 1 over square root of 3{n to the power of 3 }
a A LaTex expression showing 3 to the power of -1 over 2 times {n} to the power of -3 over 2
b A LaTex expression showing 3 to the power of -1 over 2 times {n} to the power of -2 over 2
c A LaTex expression showing 3 to the power of -1 over 3 times {n} to the power of -3 over 3
d A LaTex expression showing 3 to the power of 1 over 2 times {n} to the power of 3 over 2
e A LaTex expression showing 6 to the power of -1 over 2 times {n} to the power of -3 over 2
f A LaTex expression showing 3 to the power of -1 over 2 times {n} to the power of -4 over 2
5
Convert the radical to a fractional exponent
A LaTex expression showing 1 over square root of 7{c to the power of 3 }
a A LaTex expression showing 7 to the power of -1 over 2 times {c} to the power of -4 over 2
b A LaTex expression showing 7 to the power of -1 over 2 times {c} to the power of -3 over 2
c A LaTex expression showing 28 to the power of -1 over 2 times {c} to the power of -3 over 2
d A LaTex expression showing 7 to the power of -1 over 3 times {c} to the power of -3 over 3
e A LaTex expression showing 7 to the power of -1 over 2 times {c} to the power of -5 over 2
f A LaTex expression showing 21 to the power of -1 over 2 times {c} to the power of -3 over 2
6
Convert the radical to a fractional exponent
A LaTex expression showing 1 over square root of 2{y to the power of 3 }
a A LaTex expression showing 6 to the power of -1 over 2 times {y} to the power of -3 over 2
b A LaTex expression showing 2 to the power of -1 over 2 times {y} to the power of -4 over 2
c A LaTex expression showing 2 to the power of -1 over 3 times {y} to the power of -3 over 3
d A LaTex expression showing 2 to the power of 1 over 2 times {y} to the power of 3 over 2
e A LaTex expression showing 4 to the power of -1 over 2 times {y} to the power of -3 over 2
f A LaTex expression showing 2 to the power of -1 over 2 times {y} to the power of -3 over 2
7
Convert the radical to a fractional exponent
A LaTex expression showing 1 over square root of 7{b to the power of 3 }
a A LaTex expression showing 7 to the power of -1 over 2 times {b} to the power of -3 over 2
b A LaTex expression showing 28 to the power of -1 over 2 times {b} to the power of -3 over 2
c A LaTex expression showing 21 to the power of -1 over 2 times {b} to the power of -3 over 2
d A LaTex expression showing 14 to the power of -1 over 2 times {b} to the power of -3 over 2
e A LaTex expression showing 7 to the power of -1 over 3 times {b} to the power of -3 over 3
f A LaTex expression showing 7 to the power of 1 over 2 times {b} to the power of 3 over 2