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Exponents - Power Law with Prime Base (Positives, Exponent with Power to Exponent) (Level 1)

This math topic focuses on the application of the Power Law for exponents, particularly with prime bases. It involves solving problems where a term with an exponent is further raised to another power. The practice includes calculating and simplifying expressions like `(base^power)^exponent`, which requires students to multiply the exponents as part of the exponentiation rules. The problems utilize bases that are prime numbers, enhancing the complexity and focus on integral exponent calculations.

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

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Power Law with Prime Base (Positives, Exponent with Power to Exponent)

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

Find the answer when this term is raised to its exponent

(115)2(11^{5})^{2}

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

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Math worksheet on 'Exponents - Power Law with Prime Base (Positives, Exponent 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 this term is raised to its exponent
A LaTex expression showing (3 to the power of 4 ) to the power of 2
a A LaTex expression showing 3 to the power of 8
b A LaTex expression showing 3 to the power of 9
c A LaTex expression showing 3 to the power of 800
d A LaTex expression showing 3 to the power of 0
2
Find the answer when this term is raised to its exponent
A LaTex expression showing (2 to the power of 4 ) to the power of 2
a A LaTex expression showing 2 to the power of 6
b A LaTex expression showing 2 to the power of 9
c A LaTex expression showing 2 to the power of 80
d A LaTex expression showing 2 to the power of 7
e A LaTex expression showing 2 to the power of 8
3
Find the answer when this term is raised to its exponent
A LaTex expression showing (3 to the power of 4 ) to the power of 4
a A LaTex expression showing 3
b A LaTex expression showing 3 to the power of 16
c A LaTex expression showing 3 to the power of 15
d A LaTex expression showing 3 to the power of 14
4
Find the answer when this term is raised to its exponent
A LaTex expression showing (3 to the power of 2 ) to the power of 4
a A LaTex expression showing 3 to the power of 80
b A LaTex expression showing 3 to the power of 7
c A LaTex expression showing 3 to the power of 8
d A LaTex expression showing 3 to the power of 0
5
Find the answer when this term is raised to its exponent
A LaTex expression showing (2 to the power of 2 ) to the power of 4
a A LaTex expression showing 2 to the power of 7
b A LaTex expression showing 2 to the power of 8
c A LaTex expression showing 2 to the power of 9
d A LaTex expression showing 2 to the power of 6
6
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 4
a A LaTex expression showing 11 to the power of 16
b A LaTex expression showing 11 to the power of 200
c A LaTex expression showing 11 to the power of 19
d A LaTex expression showing 11 to the power of 20
7
Find the answer when this term is raised to its exponent
A LaTex expression showing (5 to the power of 2 ) to the power of 3
a A LaTex expression showing 5 to the power of 4
b A LaTex expression showing 5 to the power of 600
c A LaTex expression showing 5 to the power of 6
d A LaTex expression showing 5 to the power of 5