Grade 10 Exponentiation Worksheet

This worksheet covers fundamental concepts and applications of exponentiation for Grade 10 students, including properties of exponents, negative and zero exponents, and scientific notation.

Grade 10 Math Number SenseExponentiation

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Includes

Fill in the BlanksMultiple Choice2 Short AnswerTrue / False

Standards

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

Topics

mathgrade 10exponentiationexponentsalgebra

7 sections · Free to use · Printable

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Grade 10 Exponentiation Practice

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Read each question carefully and provide the best answer. Show all your work where applicable. Simplify all expressions completely.

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

2. When dividing powers with the same base, you the exponents. For example, x^a / x^b = x^(a-b).

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

4. A negative exponent indicates the of the base raised to the positive exponent. For example, x^(-a) = 1/(x^a).

5. Simplify: (3x^2y^3)^2

9x^4y^6

9x^4y^5

6x^4y^6

6x^4y^5

6. Simplify: (10a^5b^2) / (2a^2b)

5a^3b

5a^7b^3

8a^3b

8a^7b^3

7. Evaluate: (-4)^0

8. Simplify and write with positive exponents: 6x^(-3)

9. Simplify and write with positive exponents: (2/3)^(-2)

10. (x^a)^b = x^(a+b)

True

False

11. 1/x^(-n) = x^n

True

False

12. Write 0.0000000078 in scientific notation.

13. Write 3.14 x 10^6 in standard form.