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

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.

Find the answer when these terms are multiplied

1115â‹…1115â‹…1115\frac{1}{11^{5}} \cdot \frac{1}{11^{5}} \cdot \frac{1}{11^{5}}

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

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Math worksheet on 'Exponents - Power Law with Prime Base (Negatives, Fraction with Power to Exponent) (Level 1)'. Part of a broader unit on 'Exponents - Multiplication and Division - Advanced' Learn online: app.mobius.academy/math/units/exponents_multiplication_and_division_advanced/
1
Find the answer when these terms are multiplied
A LaTex expression showing 1 over 2 to the power of 3 times 1 over 2 to the power of 3 times 1 over 2 to the power of 3
a A LaTex expression showing 2 to the power of -9
b A LaTex expression showing 2 to the power of -90
c A LaTex expression showing 2 to the power of 0
2
Find the answer when these terms are multiplied
A LaTex expression showing 1 over 7 to the power of 2 times 1 over 7 to the power of 2 times 1 over 7 to the power of 2 times 1 over 7 to the power of 2
a A LaTex expression showing 7 to the power of 0
b A LaTex expression showing 7 to the power of 2
c A LaTex expression showing 7 to the power of -8
d A LaTex expression showing 7 to the power of -800
3
Find the answer when these terms are multiplied
A LaTex expression showing 1 over 11 times 1 over 11 times 1 over 11 times 1 over 11
a A LaTex expression showing 11 to the power of 0
b A LaTex expression showing 11 to the power of -3
c A LaTex expression showing 11 to the power of -4
d A LaTex expression showing 11 to the power of -40
4
Find the answer when these terms are multiplied
A LaTex expression showing 1 over 3 to the power of 5 times 1 over 3 to the power of 5 times 1 over 3 to the power of 5 times 1 over 3 to the power of 5 times 1 over 3 to the power of 5 times 1 over 3 to the power of 5
a A LaTex expression showing 3 to the power of -300
b A LaTex expression showing 3 to the power of -3
c A LaTex expression showing 3 to the power of -3,000
d A LaTex expression showing 3 to the power of -30
e A LaTex expression showing 3 to the power of -27
5
Find the answer when these terms are multiplied
A LaTex expression showing 1 over 7 to the power of 2 times 1 over 7 to the power of 2 times 1 over 7 to the power of 2 times 1 over 7 to the power of 2 times 1 over 7 to the power of 2 times 1 over 7 to the power of 2
a A LaTex expression showing 7 to the power of -1
b A LaTex expression showing 7 to the power of 4
c A LaTex expression showing 7 to the power of -11
d A LaTex expression showing 7 to the power of -12
6
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 times 1 over 5 to the power of 6
a A LaTex expression showing 5 to the power of 0
b A LaTex expression showing 5 to the power of -40
c A LaTex expression showing 5 to the power of -36
d A LaTex expression showing 5 to the power of -360
e A LaTex expression showing 5 to the power of -33
7
Find the answer when these terms are multiplied
A LaTex expression showing 1 over 3 to the power of 4 times 1 over 3 to the power of 4 times 1 over 3 to the power of 4
a A LaTex expression showing 3 to the power of -1
b A LaTex expression showing 3 to the power of -12
c A LaTex expression showing 3 to the power of -11
d A LaTex expression showing 3 to the power of -13