Grade 9: Properties of Exponents Worksheet
Reinforce understanding of exponent properties including product, quotient, power, zero, and negative exponents with this Grade 9 math worksheet.
Includes
Standards
Topics
Properties of Exponents
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Date:
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Read each question carefully and follow the instructions. Simplify all expressions completely.
1. Which of the following is equivalent to (x^3)^4?
x^7
x^12
x^81
x^4/3
2. Simplify: (2a^2b^3)(3a^4b)
5a^6b^4
6a^6b^4
6a^8b^3
5a^8b^3
3. Any non-zero number raised to the power of zero is equal to .
4. When dividing exponents with the same base, you the powers.
5. Simplify the expression: (x^5 / x^2)^3
6. Express 1/y^7 with a negative exponent.
7. (a + b)^2 is equal to a^2 + b^2.
True
False
8. The expression (3x)^-2 simplifies to 1/(9x^2).
True
False
9. A rectangular prism has a length of 2x^3, a width of 3x^2, and a height of x^4. What is the volume of the prism? (Volume = length × width × height)
10. If the area of a square is 16y^10, what is the length of one side of the square?
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