Allday Education

Free Exponent Rules Worksheet

Ten expressions to simplify with the product rule for exponents, with a printable key.

Answer key included
Name: Date:
Properties of Exponents
1.
x8x8x^{8} \cdot x^{8}
2.
x4x7x^{4} \cdot x^{7}
3.
x8x2x^{8} \cdot x^{2}
4.
x6x6x^{6} \cdot x^{6}
5.
x5x6x^{5} \cdot x^{6}
6.
x7x5x^{7} \cdot x^{5}
7.
x3x7x^{3} \cdot x^{7}
8.
x3x3x^{3} \cdot x^{3}
9.
x6x7x^{6} \cdot x^{7}
10.
x5x3x^{5} \cdot x^{3}
Andy · alldayeverydaymath.com
Name: Answer KeyDate:
Properties of Exponents
1.
x8x8x^{8} \cdot x^{8}
Answer: x16x^{16}
2.
x4x7x^{4} \cdot x^{7}
Answer: x11x^{11}
3.
x8x2x^{8} \cdot x^{2}
Answer: x10x^{10}
4.
x6x6x^{6} \cdot x^{6}
Answer: x12x^{12}
5.
x5x6x^{5} \cdot x^{6}
Answer: x11x^{11}
6.
x7x5x^{7} \cdot x^{5}
Answer: x12x^{12}
7.
x3x7x^{3} \cdot x^{7}
Answer: x10x^{10}
8.
x3x3x^{3} \cdot x^{3}
Answer: x6x^{6}
9.
x6x7x^{6} \cdot x^{7}
Answer: x13x^{13}
10.
x5x3x^{5} \cdot x^{3}
Answer: x8x^{8}
Andy · alldayeverydaymath.com

Scroll to see all 10 problems and the answer key on its own page. Printing includes every page.

About this worksheet

Add the exponents when the bases match — simple to state, endlessly fumbled under pressure. This sheet drills the product rule in isolation so the habit is automatic before quotient and power rules pile on.

Students shaky on the skill itself? Send them to the free lesson: Properties of Exponents — explained step by step.

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