HomePricing

Exponents - Negative Exponents, Negative Base (to Fraction Exponent Form) (Level 2)

This math topic focuses on understanding and simplifying expressions involving negative exponents and numbers raised to negative powers with a negative base, converting them into fractional exponent forms. It is designed to strengthen skills in manipulating exponents, specifically by exploring different representations of numbers in power forms, such as converting a negative base with a negative exponent into various potential equivalent expressions using fractional or negative exponents. Each question presents a base and exponent scenario and asks for equivalent expressions, enhancing students' comprehension of advanced exponent rules.

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

View Unit

Negative Exponents, Negative Base (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?

(−8)−3(-8)^{-3}

Exponents - Negative Exponents, Negative Base (to Fraction Exponent Form) Worksheet

Mobius Math Club logo
Math worksheet on 'Exponents - Negative Exponents, Negative Base (to Fraction Exponent Form) (Level 2)'. Part of a broader unit on 'Exponents - Negative and Fractional Bases and Exponents' Learn online: app.mobius.academy/math/units/exponents_negative_and_fractional_bases_review/
1
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 1 over 9 to the power of 2
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 9 over 2 to the power of -1
f A LaTex expression showing -1 over 9 to the power of 2
2
What is another way of representing this number raised to a negative exponent?
A LaTex expression showing (-10) to the power of -2
a A LaTex expression showing -1 over 10 to the power of 2
b A LaTex expression showing 1 over 10 to the power of 2
c A LaTex expression showing -1 over 2 to the power of 10
d A LaTex expression showing 10 over 2 to the power of 10
e A LaTex expression showing 1 over 2 to the power of 10
f A LaTex expression showing 10 over 2 to the power of -1
3
What is another way of representing this number raised to a negative exponent?
A LaTex expression showing (-2) to the power of -6
a A LaTex expression showing 2 over 6 to the power of -1
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 2 over 6 to the power of 2
e A LaTex expression showing 1 over 6 to the power of 2
f A LaTex expression showing -1 over 2 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 -2
a A LaTex expression showing -1 over 2 to the power of 4
b A LaTex expression showing 1 over 4 to the power of 2
c A LaTex expression showing 4 over 2 to the power of -1
d A LaTex expression showing 4 over 2 to the power of 4
e A LaTex expression showing -1 over 4 to the power of 2
f A LaTex expression showing 1 over 2 to the power of 4
5
What is another way of representing this number raised to a negative exponent?
A LaTex expression showing (-7) to the power of -4
a A LaTex expression showing 7 over 4 to the power of 7
b A LaTex expression showing 1 over 4 to the power of 7
c A LaTex expression showing -1 over 7 to the power of 4
d A LaTex expression showing 7 over 4 to the power of -1
e A LaTex expression showing -1 over 4 to the power of 7
f A LaTex expression showing 1 over 7 to the power of 4
6
What is another way of representing this number raised to a negative exponent?
A LaTex expression showing (-9) to the power of -3
a A LaTex expression showing -1 over 9 to the power of 3
b A LaTex expression showing 9 over 3 to the power of 9
c A LaTex expression showing 1 over 3 to the power of 9
d A LaTex expression showing 9 over 3 to the power of -1
e A LaTex expression showing -1 over 3 to the power of 9
f A LaTex expression showing 1 over 9 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 2 to the power of 7
b A LaTex expression showing 7 over 2 to the power of -1
c A LaTex expression showing 1 over 7 to the power of 2
d A LaTex expression showing 7 over 2 to the power of 7
e A LaTex expression showing 1 over 2 to the power of 7
f A LaTex expression showing -1 over 7 to the power of 2