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

This math topic reinforces students' abilities in applying exponent rules, specifically the power law with negative exponents and fractional bases. Problems involve calculating results of multiplying terms that feature fractions raised to negative or positive exponents. Each question requires simplifying expressions that involve prime number bases raised to various exponent values to determine the final power of a number. The problems range from basic to more complex scenarios, thus helping to enhance understanding of exponent manipulation.

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, Fraction with Power to Exponent) Worksheet

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Exponents - Power Law with Prime Base (Negatives, Fraction with Power to Exponent)
1
Find the answer when these terms are multiplied
A LaTex expression showing 1 over 3 times 1 over 3 times 1 over 3 times 1 over 3
a A LaTex expression showing 3 to the power of 3
b A LaTex expression showing 3 to the power of 0
c A LaTex expression showing 3 to the power of -4
2
Find the answer when these terms are multiplied
A LaTex expression showing 1 over 7 to the power of 6 times 1 over 7 to the power of 6 times 1 over 7 to the power of 6 times 1 over 7 to the power of 6 times 1 over 7 to the power of 6 times 1 over 7 to the power of 6
a A LaTex expression showing 7 to the power of -33
b A LaTex expression showing 7 to the power of -3
c A LaTex expression showing 7 to the power of -36
d A LaTex expression showing 7 to the power of -39
e A LaTex expression showing 7 to the power of -360
3
Find the answer when these terms are multiplied
A LaTex expression showing 1 over 5 to the power of 3 times 1 over 5 to the power of 3 times 1 over 5 to the power of 3 times 1 over 5 to the power of 3 times 1 over 5 to the power of 3 times 1 over 5 to the power of 3
a A LaTex expression showing 5 to the power of -1,800
b A LaTex expression showing 5 to the power of 3
c A LaTex expression showing 5 to the power of -20
d A LaTex expression showing 5 to the power of -18
4
Find the answer when these terms are multiplied
A LaTex expression showing 1 over 5 to the power of 6 times 1 over 5 to the power of 6 times 1 over 5 to the power of 6 times 1 over 5 to the power of 6 times 1 over 5 to the power of 6
a A LaTex expression showing 5 to the power of -3
b A LaTex expression showing 5 to the power of -300
c A LaTex expression showing 5 to the power of 0
d A LaTex expression showing 5 to the power of -30
5
Find the answer when these terms are multiplied
A LaTex expression showing 1 over 5 to the power of 6 times 1 over 5 to the power of 6 times 1 over 5 to the power of 6 times 1 over 5 to the power of 6
a A LaTex expression showing 5 to the power of -23
b A LaTex expression showing 5 to the power of -24
c A LaTex expression showing 5 to the power of -2,400
d A LaTex expression showing 5 to the power of -240
e A LaTex expression showing 5 to the power of -2
6
Find the answer when these terms are multiplied
A LaTex expression showing 1 over 5 to the power of 2 times 1 over 5 to the power of 2
a A LaTex expression showing 5 to the power of -3
b A LaTex expression showing 5 to the power of 0
c A LaTex expression showing 5 to the power of -400
d A LaTex expression showing 5 to the power of -4
7
Find the answer when these terms are multiplied
A LaTex expression showing 1 over 11 to the power of 2 times 1 over 11 to the power of 2 times 1 over 11 to the power of 2 times 1 over 11 to the power of 2 times 1 over 11 to the power of 2
a A LaTex expression showing 11 to the power of -9
b A LaTex expression showing 11 to the power of -8
c A LaTex expression showing 11 to the power of -1,000
d A LaTex expression showing 11 to the power of -10
e A LaTex expression showing 11 to the power of -100
8
Find the answer when these terms are multiplied
A LaTex expression showing 1 over 3 to the power of 6 times 1 over 3 to the power of 6 times 1 over 3 to the power of 6 times 1 over 3 to the power of 6 times 1 over 3 to the power of 6 times 1 over 3 to the power of 6
a A LaTex expression showing 3 to the power of 0
b A LaTex expression showing 3 to the power of -36
c A LaTex expression showing 3 to the power of -40
d A LaTex expression showing 3 to the power of -31
e A LaTex expression showing 3 to the power of -42