Negative Exponents (to Fraction Exponent Form) (Level 2)

This math topic covers the conversion of numbers raised to negative exponents into fraction exponent forms. It provides practice in understanding and manipulating the properties of exponents, specifically focusing on how to express negative exponents as fractions which may involve simplifying expressions and rewriting them according to the rules of exponents. This is a segment of an advanced unit on exponents. Each question presents a mathematical expression and multiple possible fractional representations to select from, fostering a solid grasp of exponent rules and operations.

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

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Exponents - Negative Exponents (to Fraction Exponent Form) Worksheet

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Exponents - Negative Exponents (to Fraction Exponent Form)
1
What is another way of representing this number raised to a negative exponent?
A LaTex expression showing 4 to the power of -6
a A LaTex expression showing -1 over 6 to the power of 4
b A LaTex expression showing 1 over 6 to the power of 4
c A LaTex expression showing 4 over 6 to the power of 4
d A LaTex expression showing 4 over 6 to the power of -1
e A LaTex expression showing 1 over 4 to the power of 6
f A LaTex expression showing -1 over 4 to the power of 6
2
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 1 over 9 to the power of 2
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 9 over 2 to the power of 9
3
What is another way of representing this number raised to a negative exponent?
A LaTex expression showing 6 to the power of -3
a A LaTex expression showing -1 over 6 to the power of 3
b A LaTex expression showing 6 over 3 to the power of -1
c A LaTex expression showing 1 over 6 to the power of 3
d A LaTex expression showing -1 over 3 to the power of 6
e A LaTex expression showing 6 over 3 to the power of 6
f A LaTex expression showing 1 over 3 to the power of 6
4
What is another way of representing this number raised to a negative exponent?
A LaTex expression showing 4 to the power of -3
a A LaTex expression showing -1 over 4 to the power of 3
b A LaTex expression showing -1 over 3 to the power of 4
c A LaTex expression showing 4 over 3 to the power of 4
d A LaTex expression showing 1 over 3 to the power of 4
e A LaTex expression showing 1 over 4 to the power of 3
f A LaTex expression showing 4 over 3 to the power of -1
5
What is another way of representing this number raised to a negative exponent?
A LaTex expression showing 10 to the power of -4
a A LaTex expression showing 10 over 4 to the power of 10
b A LaTex expression showing -1 over 4 to the power of 10
c A LaTex expression showing 1 over 4 to the power of 10
d A LaTex expression showing -1 over 10 to the power of 4
e A LaTex expression showing 10 over 4 to the power of -1
f A LaTex expression showing 1 over 10 to the power of 4
6
What is another way of representing this number raised to a negative exponent?
A LaTex expression showing 8 to the power of -5
a A LaTex expression showing -1 over 8 to the power of 5
b A LaTex expression showing -1 over 5 to the power of 8
c A LaTex expression showing 1 over 5 to the power of 8
d A LaTex expression showing 8 over 5 to the power of -1
e A LaTex expression showing 1 over 8 to the power of 5
f A LaTex expression showing 8 over 5 to the power of 8
7
What is another way of representing this number raised to a negative exponent?
A LaTex expression showing 6 to the power of -5
a A LaTex expression showing -1 over 5 to the power of 6
b A LaTex expression showing 1 over 5 to the power of 6
c A LaTex expression showing 6 over 5 to the power of -1
d A LaTex expression showing -1 over 6 to the power of 5
e A LaTex expression showing 1 over 6 to the power of 5
f A LaTex expression showing 6 over 5 to the power of 6
8
What is another way of representing this number raised to a negative exponent?
A LaTex expression showing 8 to the power of -6
a A LaTex expression showing 8 over 6 to the power of 8
b A LaTex expression showing -1 over 6 to the power of 8
c A LaTex expression showing -1 over 8 to the power of 6
d A LaTex expression showing 8 over 6 to the power of -1
e A LaTex expression showing 1 over 6 to the power of 8
f A LaTex expression showing 1 over 8 to the power of 6