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.

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

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