Exponent

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.

more
View Unit

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

11041104\frac{1}{10^{4}} \cdot \frac{1}{10^{4}}

?

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

Mobius Math Club logo
Math worksheet on 'Exponents - Power Law with Composite Base (Negatives, Fraction with Power to Exponent) (Level 1)'. Part of a broader unit on 'Exponents - Negative, Fractional, and Power Law' Learn online: app.mobius.academy/math/units/exponents_negatives_fractions_and_power_law/
1
Find the answer when these terms are multiplied
A LaTex expression showing 1 over 35 to the power of 2 times 1 over 35 to the power of 2 times 1 over 35 to the power of 2 times 1 over 35 to the power of 2 times 1 over 35 to the power of 2
a A LaTex expression showing 35 to the power of -11
b A LaTex expression showing 35 to the power of 3
c A LaTex expression showing 35 to the power of -10
d A LaTex expression showing 35 to the power of -8
2
Find the answer when these terms are multiplied
A LaTex expression showing 1 over 15 to the power of 5 times 1 over 15 to the power of 5 times 1 over 15 to the power of 5 times 1 over 15 to the power of 5 times 1 over 15 to the power of 5 times 1 over 15 to the power of 5
a A LaTex expression showing 15
b A LaTex expression showing 15 to the power of -25
c A LaTex expression showing 15 to the power of -30
d A LaTex expression showing 15 to the power of -3,000
e A LaTex expression showing 15 to the power of -28
3
Find the answer when these terms are multiplied
A LaTex expression showing 1 over 121 to the power of 3 times 1 over 121 to the power of 3 times 1 over 121 to the power of 3 times 1 over 121 to the power of 3
a A LaTex expression showing 121 to the power of -9
b A LaTex expression showing 121
c A LaTex expression showing 121 to the power of -12
d A LaTex expression showing 121 to the power of -10
e A LaTex expression showing 121 to the power of 0
4
Find the answer when these terms are multiplied
A LaTex expression showing 1 over 25 to the power of 2 times 1 over 25 to the power of 2
a A LaTex expression showing 25 to the power of -4
b A LaTex expression showing 25 to the power of 0
c A LaTex expression showing 25 to the power of -3
5
Find the answer when these terms are multiplied
A LaTex expression showing 1 over 15 times 1 over 15 times 1 over 15 times 1 over 15
a A LaTex expression showing 15 to the power of 3
b A LaTex expression showing 15 to the power of -3
c A LaTex expression showing 15 to the power of -4
d A LaTex expression showing 15 to the power of -40
6
Find the answer when these terms are multiplied
A LaTex expression showing 1 over 6 to the power of 4 times 1 over 6 to the power of 4 times 1 over 6 to the power of 4 times 1 over 6 to the power of 4 times 1 over 6 to the power of 4 times 1 over 6 to the power of 4
a A LaTex expression showing 6 to the power of -240
b A LaTex expression showing 6 to the power of -24
c A LaTex expression showing 6 to the power of 2
d A LaTex expression showing 6 to the power of -2,400
7
Find the answer when these terms are multiplied
A LaTex expression showing 1 over 77 to the power of 3 times 1 over 77 to the power of 3 times 1 over 77 to the power of 3 times 1 over 77 to the power of 3 times 1 over 77 to the power of 3
a A LaTex expression showing 77 to the power of 2
b A LaTex expression showing 77 to the power of -1
c A LaTex expression showing 77 to the power of -16
d A LaTex expression showing 77 to the power of -15