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Exponents - Negative Exponents (to Fraction Exponent Form) (Level 1)

This math topic focuses on the skill of converting numbers with negative exponents into fractional exponent forms. It includes questions that ask the student to find equivalent expressions for terms such as "3 to the power of -2" and similar expressions using various numbers. Each problem presents multiple choices for how these expressions might be represented differently, enhancing the student's understanding of exponents, particularly negative and fractional exponents. This is considered an advanced topic in the study of exponents.

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

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Negative Exponents (to Fraction Exponent Form)

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

What is another way of representing this number raised to a negative exponent?

3−23^{-2}

Exponents - Negative Exponents (to Fraction Exponent Form) Worksheet

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Math worksheet on 'Exponents - Negative Exponents (to Fraction Exponent Form) (Level 1)'. Part of a broader unit on 'Exponents - Advanced' Learn online: app.mobius.academy/math/units/exponents_advanced/
1
What is another way of representing this number raised to a negative exponent?
A LaTex expression showing 4 to the power of -2
a A LaTex expression showing 1 over 4 to the power of 2
b A LaTex expression showing 1 over 2 to the power of 4
c A LaTex expression showing 4 over 2 to the power of -1
d A LaTex expression showing -1 over 2 to the power of 4
e A LaTex expression showing 4 over 2 to the power of 4
f A LaTex expression showing -1 over 4 to the power of 2
2
What is another way of representing this number raised to a negative exponent?
A LaTex expression showing 6 to the power of -2
a A LaTex expression showing 6 over 2 to the power of 6
b A LaTex expression showing 1 over 2 to the power of 6
c A LaTex expression showing 1 over 6 to the power of 2
d A LaTex expression showing -1 over 2 to the power of 6
e A LaTex expression showing 6 over 2 to the power of -1
f A LaTex expression showing -1 over 6 to the power of 2
3
What is another way of representing this number raised to a negative exponent?
A LaTex expression showing 8 to the power of -2
a A LaTex expression showing -1 over 8 to the power of 2
b A LaTex expression showing -1 over 2 to the power of 8
c A LaTex expression showing 1 over 2 to the power of 8
d A LaTex expression showing 1 over 8 to the power of 2
e A LaTex expression showing 8 over 2 to the power of 8
f A LaTex expression showing 8 over 2 to the power of -1
4
What is another way of representing this number raised to a negative exponent?
A LaTex expression showing 5 to the power of -2
a A LaTex expression showing 5 over 2 to the power of 5
b A LaTex expression showing 1 over 2 to the power of 5
c A LaTex expression showing 5 over 2 to the power of -1
d A LaTex expression showing 1 over 5 to the power of 2
e A LaTex expression showing -1 over 2 to the power of 5
f A LaTex expression showing -1 over 5 to the power of 2
5
What is another way of representing this number raised to a negative exponent?
A LaTex expression showing 9 to the power of -2
a A LaTex expression showing -1 over 2 to the power of 9
b A LaTex expression showing 9 over 2 to the power of -1
c A LaTex expression showing 9 over 2 to the power of 9
d A LaTex expression showing 1 over 2 to the power of 9
e A LaTex expression showing -1 over 9 to the power of 2
f A LaTex expression showing 1 over 9 to the power of 2
6
What is another way of representing this number raised to a negative exponent?
A LaTex expression showing 3 to the power of -2
a A LaTex expression showing -1 over 3 to the power of 2
b A LaTex expression showing 1 over 2 to the power of 3
c A LaTex expression showing 1 over 3 to the power of 2
d A LaTex expression showing 3 over 2 to the power of -1
e A LaTex expression showing -1 over 2 to the power of 3
f A LaTex expression showing 3 over 2 to the power of 3
7
What is another way of representing this number raised to a negative exponent?
A LaTex expression showing 7 to the power of -2
a A LaTex expression showing -1 over 7 to the power of 2
b A LaTex expression showing 7 over 2 to the power of -1
c A LaTex expression showing 1 over 2 to the power of 7
d A LaTex expression showing -1 over 2 to the power of 7
e A LaTex expression showing 7 over 2 to the power of 7
f A LaTex expression showing 1 over 7 to the power of 2