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

This math topic focuses on applying the power law of exponents, particularly with numbers with negative bases and exponents. The exercises include calculating powers of negative exponents and handling multiple layers of exponents involving negative values. Each question presents a numeric expression of a base raised to a power, which is then raised to another power, and students are required to simplify these to their simplest forms. Options for answers vary, illustrating common misconceptions or mistakes that might occur in these calculations. This is an introduction to the power laws of exponents.

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, 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

(14−6)3(14^{-6})^{3}

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

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Math worksheet on 'Exponents - Power Law with Composite Base (Negatives, 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 (77 to the power of -5 ) to the power of 6
a A LaTex expression showing 77 to the power of -300
b A LaTex expression showing 77
c A LaTex expression showing 77 to the power of -30
d A LaTex expression showing 77 to the power of -24
e A LaTex expression showing 77 to the power of -27
2
Find the answer when this term is raised to its exponent
A LaTex expression showing (33 to the power of -6 ) 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 -14
c A LaTex expression showing 33 to the power of -12
d A LaTex expression showing 33 to the power of -10
e A LaTex expression showing 33 to the power of -4
3
Find the answer when this term is raised to its exponent
A LaTex expression showing (10 to the power of -6 ) to the power of 2
a A LaTex expression showing 10 to the power of -4
b A LaTex expression showing 10 to the power of -12
c A LaTex expression showing 10 to the power of -11
d A LaTex expression showing 10 to the power of -13
4
Find the answer when this term is raised to its exponent
A LaTex expression showing (4 to the power of -4 ) to the power of 2
a A LaTex expression showing 4 to the power of 0
b A LaTex expression showing 4 to the power of -6
c A LaTex expression showing 4 to the power of -8
d A LaTex expression showing 4 to the power of -7
5
Find the answer when this term is raised to its exponent
A LaTex expression showing (14 to the power of -1 ) to the power of 6
a A LaTex expression showing 14 to the power of -5
b A LaTex expression showing 14 to the power of -600
c A LaTex expression showing 14 to the power of 0
d A LaTex expression showing 14 to the power of -6
6
Find the answer when this term is raised to its exponent
A LaTex expression showing (14 to the power of -2 ) to the power of 3
a A LaTex expression showing 14 to the power of -600
b A LaTex expression showing 14 to the power of -6
c A LaTex expression showing 14 to the power of 0
d A LaTex expression showing 14
7
Find the answer when this term is raised to its exponent
A LaTex expression showing (10 to the power of -3 ) to the power of 6
a A LaTex expression showing 10 to the power of 3
b A LaTex expression showing 10 to the power of -18
c A LaTex expression showing 10 to the power of -180
d A LaTex expression showing 10 to the power of -1,800