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

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Exponents - Power Law with Composite Base (Negatives, Fraction with Power to Exponent)
1
Find the answer when these terms are multiplied
A LaTex expression showing 1 over 15 to the power of 4 times 1 over 15 to the power of 4 times 1 over 15 to the power of 4 times 1 over 15 to the power of 4 times 1 over 15 to the power of 4
a A LaTex expression showing 15 to the power of -20
b A LaTex expression showing 15 to the power of -19
c A LaTex expression showing 15 to the power of -23
d A LaTex expression showing 15 to the power of -200
2
Find the answer when these terms are multiplied
A LaTex expression showing 1 over 55 to the power of 3 times 1 over 55 to the power of 3
a A LaTex expression showing 55 to the power of -5
b A LaTex expression showing 55 to the power of -6
c A LaTex expression showing 55 to the power of -60
d A LaTex expression showing 55 to the power of -1
3
Find the answer when these terms are multiplied
A LaTex expression showing 1 over 35 times 1 over 35 times 1 over 35
a A LaTex expression showing 35 to the power of -2
b A LaTex expression showing 35 to the power of -30
c A LaTex expression showing 35 to the power of -3
d A LaTex expression showing 35 to the power of 0
e A LaTex expression showing 35 to the power of 2
4
Find the answer when these terms are multiplied
A LaTex expression showing 1 over 10 to the power of 3 times 1 over 10 to the power of 3 times 1 over 10 to the power of 3 times 1 over 10 to the power of 3 times 1 over 10 to the power of 3 times 1 over 10 to the power of 3
a A LaTex expression showing 10 to the power of -17
b A LaTex expression showing 10 to the power of -18
c A LaTex expression showing 10 to the power of 3
d A LaTex expression showing 10 to the power of -15
e A LaTex expression showing 10 to the power of -16
5
Find the answer when these terms are multiplied
A LaTex expression showing 1 over 6 to the power of 5 times 1 over 6 to the power of 5 times 1 over 6 to the power of 5
a A LaTex expression showing 6 to the power of -150
b A LaTex expression showing 6 to the power of -2
c A LaTex expression showing 6 to the power of -16
d A LaTex expression showing 6 to the power of -15
6
Find the answer when these terms are multiplied
A LaTex expression showing 1 over 10 to the power of 2 times 1 over 10 to the power of 2 times 1 over 10 to the power of 2
a A LaTex expression showing 10 to the power of -600
b A LaTex expression showing 10 to the power of -5
c A LaTex expression showing 10
d A LaTex expression showing 10 to the power of -6
e A LaTex expression showing 10 to the power of 0
7
Find the answer when these terms are multiplied
A LaTex expression showing 1 over 77 to the power of 5 times 1 over 77 to the power of 5
a A LaTex expression showing 77 to the power of -10
b A LaTex expression showing 77 to the power of -3
c A LaTex expression showing 77 to the power of -1
d A LaTex expression showing 77 to the power of -100
e A LaTex expression showing 77 to the power of -11
8
Find the answer when these terms are multiplied
A LaTex expression showing 1 over 22 to the power of 4 times 1 over 22 to the power of 4
a A LaTex expression showing 22 to the power of -8
b A LaTex expression showing 22 to the power of -800
c A LaTex expression showing 22 to the power of -6
d A LaTex expression showing 22 to the power of 0