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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.

Grade 9 Math Number SenseExponentsProperties of Exponents
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Includes

Multiple ChoiceFill in the Blanks2 Short AnswerTrue / False

Standards

CCSS.MATH.CONTENT.8.EE.A.1CCSS.MATH.CONTENT.HSA.SSE.B.3.C

Topics

exponentsmathgrade 9algebranumber sense
7 sections · Free to use · Printable
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Properties of Exponents

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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?

a

x^7

b

x^12

c

x^81

d

x^4/3

2. Simplify: (2a^2b^3)(3a^4b)

a

5a^6b^4

b

6a^6b^4

c

6a^8b^3

d

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.

T

True

F

False

8. The expression (3x)^-2 simplifies to 1/(9x^2).

T

True

F

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?