Grade 10 Exponential Properties Worksheet

This worksheet covers key concepts and applications of exponential properties for Grade 10 students, including multiplication, division, power of a power, and negative exponents.

Grade 10 Math Number SenseExponential Properties

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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

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Exponential Properties Practice

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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 equal to . For example, 5^0 = 1.

3. To simplify (x^a)^b, you the exponents. For example, (x^a)^b = x^(a*b).

4. Simplify the expression: (3x^2y^3)^2

3x^4y^5

9x^4y^6

9x^4y^5

6x^4y^6

5. Which of the following is equivalent to x^-3?

1/x^3

-x^3

x * x * x

6. Simplify the expression: (m^5 / m^2)^3

7. Evaluate the expression: (2^3 * 2^4) / 2^5

8. The expression (x^a)^b is equivalent to x^(a+b).

True

False

9. A negative exponent indicates a negative number.

True

False

10. Explain the difference between (a^2)^3 and a^2 * a^3. Provide an example for each.