HomePricing
Sign InJoin

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

This math topic focuses on practicing the Power Law of exponents with variable bases that involve negative exponents. The problems challenge students to compute the result when terms involving variables raised to negative exponents are themselves raised to another exponent. Each question provides a base expression with a negative exponent and asks for the simplified form after applying the exponent to the exponent law. The worksheet is part of a broader study on handling exponents that are negative, fractional, or involve power laws.

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

View Unit

Power Law with Variable 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

(d−3)6(d^{-3})^{6}

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

Mobius Math Club logo
Math worksheet on 'Exponents - Power Law with Variable Base (Negatives, Exponent 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 this term is raised to its exponent
A LaTex expression showing (y to the power of -3 ) to the power of 6
a A LaTex expression showing y to the power of 3
b A LaTex expression showing y to the power of -21
c A LaTex expression showing y to the power of -17
d A LaTex expression showing y to the power of -15
e A LaTex expression showing y to the power of -18
2
Find the answer when this term is raised to its exponent
A LaTex expression showing (d to the power of -3 ) to the power of 6
a A LaTex expression showing d to the power of -180
b A LaTex expression showing d to the power of -18
c A LaTex expression showing d to the power of -21
d A LaTex expression showing d to the power of -1,800
e A LaTex expression showing d to the power of 3
3
Find the answer when this term is raised to its exponent
A LaTex expression showing (x to the power of -5 ) to the power of 2
a A LaTex expression showing x to the power of -8
b A LaTex expression showing x to the power of -3
c A LaTex expression showing x to the power of -11
d A LaTex expression showing x to the power of -100
e A LaTex expression showing x to the power of -10
4
Find the answer when this term is raised to its exponent
A LaTex expression showing (b to the power of -3 ) to the power of 5
a A LaTex expression showing b to the power of -15
b A LaTex expression showing b to the power of -12
c A LaTex expression showing b to the power of -1
d A LaTex expression showing b to the power of -16
5
Find the answer when this term is raised to its exponent
A LaTex expression showing (z to the power of -2 ) to the power of 5
a A LaTex expression showing z to the power of -1
b A LaTex expression showing z to the power of -10
c A LaTex expression showing z to the power of 3
d A LaTex expression showing z to the power of -9
e A LaTex expression showing z to the power of -100
6
Find the answer when this term is raised to its exponent
A LaTex expression showing (b to the power of -6 ) to the power of 4
a A LaTex expression showing b to the power of -23
b A LaTex expression showing b to the power of -28
c A LaTex expression showing b to the power of -22
d A LaTex expression showing b to the power of -2
e A LaTex expression showing b to the power of -24
7
Find the answer when this term is raised to its exponent
A LaTex expression showing (z to the power of -6 ) to the power of 5
a A LaTex expression showing z to the power of -24
b A LaTex expression showing z to the power of -29
c A LaTex expression showing z to the power of -3,000
d A LaTex expression showing z to the power of -30