Created by Barbara White
16 questions
8th Grade
Math
Power of a Product Rule Lesson is a Grade 8 mathematics worksheet that gives students 16 multiple-choice questions on simplifying expressions raised to powers. Students apply the power-of-a-power rule by multiplying exponents, raise coefficients and individual variables to powers, and identify equivalent repeated-multiplication forms such as (2x)³. The questions include monomials with multiple variables, negative coefficients, and nested powers. This free printable worksheet helps students build accuracy with exponent operations while distinguishing between multiplying an expression by an exponent and raising each factor to that exponent. It also includes questions that require students to determine an unknown exponent and select equivalent simplified forms. Use it for guided practice, independent work, or a quick check of Grade 8 exponent-rule understanding. A complete answer key is included for efficient review and grading.
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WorksheetsAnswer Key25a2b4
8x12y21
This Grade 8 mathematics worksheet uses 16 multiple-choice questions to practise simplifying powers of products and powers raised to powers. Students multiply exponents, apply the exponent to each coefficient and variable factor, manage negative coefficients, recognize equivalent repeated multiplication, and solve for an unknown exponent in an expression such as (2ˣ)⁵ = 2¹⁵.
Model one item by rewriting a product such as (5ab²)² as 5²a²(b²)², then have students explain why each factor receives the outer exponent. Use the multiple-choice options to discuss why adding exponents, leaving the coefficient unchanged, or applying the exponent to only one variable produces an incorrect result. After guided examples, assign the remaining items for independent practice and review the nested-power questions together.
Students may add instead of multiply exponents in items such as (x³)² or (r⁴)⁶, or apply the outer exponent to the variables but not to the coefficient. Watch for errors with negative coefficients, especially selecting a negative result for (-3x⁴y⁵)², and for treating (2x)³ as 2x³ rather than (2x)(2x)(2x). The multiple-choice distractors make these skipped or misapplied steps visible.
The Power of a Product Rule Lesson is available as a printable PDF and as a digital quiz on Wayground. It includes a complete answer key, and printable submissions can be graded by scanning student work with the Wayground for Teachers app. Assign the PDF for paper practice or use the digital quiz to review students’ choices on the exponent-rule questions.
Use the worksheet’s Advanced Settings to adjust font spacing or choose a larger font size so the exponent notation and multiple-choice options are easier to read. You can also apply a dyslexia-friendly font or translate the worksheet into another language while keeping the power-of-a-product questions and answer choices in the same practice format.
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