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Exponents - Power Law with Composite Base (Negatives, Fraction with Power to Exponent) (Level 1)

This topic focuses on practicing the power laws of exponents with a composite base, including operations with negative exponents and fractions raised to higher powers. It involves multiplying terms with powers to simplify expressions, particularly assessing the manipulation of bases and the summing of exponents. The problems require calculating the resultant exponents after multiplying similar terms with various powers, helping students understand and apply exponent rules effectively in different scenarios.

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

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Power Law with Composite 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

1103â‹…1103\frac{1}{10^{3}} \cdot \frac{1}{10^{3}}

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

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Math worksheet on 'Exponents - Power Law with Composite 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 33 to the power of 2 times 1 over 33 to the power of 2 times 1 over 33 to the power of 2 times 1 over 33 to the power of 2 times 1 over 33 to the power of 2
a A LaTex expression showing 33 to the power of -9
b A LaTex expression showing 33 to the power of 3
c A LaTex expression showing 33 to the power of -11
d A LaTex expression showing 33 to the power of -10
e A LaTex expression showing 33 to the power of -1,000
2
Find the answer when these terms are multiplied
A LaTex expression showing 1 over 10 to the power of 5 times 1 over 10 to the power of 5 times 1 over 10 to the power of 5 times 1 over 10 to the power of 5
a A LaTex expression showing 10 to the power of -1
b A LaTex expression showing 10 to the power of -22
c A LaTex expression showing 10 to the power of -2
d A LaTex expression showing 10 to the power of -20
e A LaTex expression showing 10 to the power of -19
3
Find the answer when these terms are multiplied
A LaTex expression showing 1 over 10 to the power of 6 times 1 over 10 to the power of 6 times 1 over 10 to the power of 6 times 1 over 10 to the power of 6 times 1 over 10 to the power of 6
a A LaTex expression showing 10 to the power of -34
b A LaTex expression showing 10 to the power of -24
c A LaTex expression showing 10 to the power of -26
d A LaTex expression showing 10 to the power of -30
e A LaTex expression showing 10 to the power of -3,000
4
Find the answer when these terms are multiplied
A LaTex expression showing 1 over 55 to the power of 2 times 1 over 55 to the power of 2
a A LaTex expression showing 55 to the power of 0
b A LaTex expression showing 55 to the power of -4
c A LaTex expression showing 55 to the power of -3
5
Find the answer when these terms are multiplied
A LaTex expression showing 1 over 35 to the power of 5 times 1 over 35 to the power of 5 times 1 over 35 to the power of 5 times 1 over 35 to the power of 5
a A LaTex expression showing 35 to the power of -18
b A LaTex expression showing 35 to the power of 0
c A LaTex expression showing 35 to the power of -20
d A LaTex expression showing 35 to the power of -200
6
Find the answer when these terms are multiplied
A LaTex expression showing 1 over 14 times 1 over 14 times 1 over 14 times 1 over 14
a A LaTex expression showing 14 to the power of -3
b A LaTex expression showing 14 to the power of -40
c A LaTex expression showing 14 to the power of 3
d A LaTex expression showing 14 to the power of -4
7
Find the answer when these terms are multiplied
A LaTex expression showing 1 over 35 to the power of 3 times 1 over 35 to the power of 3 times 1 over 35 to the power of 3 times 1 over 35 to the power of 3 times 1 over 35 to the power of 3
a A LaTex expression showing 35 to the power of -13
b A LaTex expression showing 35 to the power of 2
c A LaTex expression showing 35 to the power of -16
d A LaTex expression showing 35 to the power of -15