Properties of Exponents Worksheet

This worksheet covers the fundamental properties of exponents, including product rule, quotient rule, power rule, zero exponent rule, and negative exponent rule, suitable for Grade 10 students.

Grade 10 Math Number SenseExponentsProperties of Exponents

Use This Worksheet

Includes

Fill in the BlanksMultiple ChoiceShort AnswerTrue / FalseLong Answer

Standards

CCSS.MATH.CONTENT.HSA.SSE.B.3.CCCSS.MATH.CONTENT.HSN.RN.A.2

7 sections · Free to use · Printable

← More Math worksheets for Grade 10

Properties of Exponents

Name:

Date:

Score:

Read each question carefully and simplify the expressions using the properties of exponents. Show all your work.

1. When multiplying exponents with the same base, you the powers. For example, x^a * x^b = x^(a+b).

2. Any non-zero number raised to the power of zero is always equal to . For example, 5^0 = 1.

3. To divide exponents with the same base, you the powers. For example, x^a / x^b = x^(a-b).

4. Simplify: (x^3)^4

x^7

x^12

4x^3

x^(3/4)

5. What is the simplified form of (2a^2b^3)^3?

6a^5b^6

8a^6b^9

2a^6b^9

8a^5b^6

6. Simplify the expression: (4x^5y^2) / (2x^2y)

7. Evaluate: (-3)^2 + 2^3

8. The expression (x^-2) is equivalent to 1/(x^2).

True

False

9. When simplifying (a^m)^n, you add the exponents m and n.

True

False

10. A rectangular garden has a length of 3x^2 units and a width of 5x^3 units. Find the area of the garden in terms of x.