Power Law with Prime Base (Negatives, Exponent with Power to Exponent) (Level 1)

This math topic revolves around practicing the Power Law of exponents with prime bases and negative exponents, encompassing calculations and simplifications involving exponents and their powers. Problems require finding the results of terms raised to their exponents, dealing with exponentiation involving negative numbers and multiple layers of powers, enhancing understanding of exponent rules and their practical applications in various numerical settings.

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

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Exponents - Power Law with Prime Base (Negatives, Exponent with Power to Exponent) Worksheet

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Exponents - Power Law with Prime Base (Negatives, Exponent with Power to Exponent)
1
Find the answer when this term is raised to its exponent
A LaTex expression showing (2 to the power of -5 ) to the power of 6
a A LaTex expression showing 2 to the power of -30
b A LaTex expression showing 2 to the power of -24
c A LaTex expression showing 2
d A LaTex expression showing 2 to the power of -31
e A LaTex expression showing 2 to the power of -300
2
Find the answer when this term is raised to its exponent
A LaTex expression showing (5 to the power of -5 ) to the power of 3
a A LaTex expression showing 5 to the power of -1,500
b A LaTex expression showing 5 to the power of -15
c A LaTex expression showing 5 to the power of -13
d A LaTex expression showing 5 to the power of -16
e A LaTex expression showing 5 to the power of -17
3
Find the answer when this term is raised to its exponent
A LaTex expression showing (11 to the power of -2 ) to the power of 5
a A LaTex expression showing 11 to the power of -8
b A LaTex expression showing 11 to the power of -10
c A LaTex expression showing 11 to the power of -1,000
d A LaTex expression showing 11 to the power of 0
e A LaTex expression showing 11 to the power of -9
4
Find the answer when this term is raised to its exponent
A LaTex expression showing (3 to the power of -3 ) to the power of 2
a A LaTex expression showing 3 to the power of -6
b A LaTex expression showing 3 to the power of -600
c A LaTex expression showing 3 to the power of -60
d A LaTex expression showing 3 to the power of -5
5
Find the answer when this term is raised to its exponent
A LaTex expression showing (11 to the power of -5 ) to the power of 5
a A LaTex expression showing 11 to the power of -2,500
b A LaTex expression showing 11 to the power of -22
c A LaTex expression showing 11 to the power of 0
d A LaTex expression showing 11 to the power of -25
6
Find the answer when this term is raised to its exponent
A LaTex expression showing (5 to the power of -3 ) to the power of 3
a A LaTex expression showing 5 to the power of -9
b A LaTex expression showing 5 to the power of 0
c A LaTex expression showing 5 to the power of -7
d A LaTex expression showing 5 to the power of -10
7
Find the answer when this term is raised to its exponent
A LaTex expression showing (11 to the power of -3 ) to the power of 6
a A LaTex expression showing 11 to the power of -19
b A LaTex expression showing 11 to the power of -18
c A LaTex expression showing 11 to the power of 3
d A LaTex expression showing 11 to the power of -1
8
Find the answer when this term is raised to its exponent
A LaTex expression showing (5 to the power of -1 ) to the power of 6
a A LaTex expression showing 5 to the power of -6
b A LaTex expression showing 5 to the power of -600
c A LaTex expression showing 5 to the power of 0
d A LaTex expression showing 5 to the power of -5