Grade 12 Exponent Operations Worksheet

A Grade 12 math worksheet focusing on simplifying expressions using exponent rules, including negative, zero, and fractional exponents, and solving exponential equations.

Grade 12 Math Number SenseExponent Operations

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Includes

2 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.HSN.RN.A.1CCSS.MATH.CONTENT.HSN.RN.A.2CCSS.MATH.CONTENT.HSA.SSE.B.3.C

Topics

exponentsalgebramathgrade 12number sense

7 sections · Free to use · Printable

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Grade 12 Exponent Operations

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Read each question carefully and simplify the expressions using the rules of exponents. Show all your work for full credit.

1. Simplify the following expression: (3x^2 y^-3 z^0)^-2 * (2x^-3 y^2 z^4)^3

2. Evaluate the expression: (81^(1/4)) * (27^(-2/3))

3. When multiplying exponents with the same base, you the powers. For example, a^m * a^n = .

4. Any non-zero base raised to the power of zero is always equal to .

5. A negative exponent indicates the of the base raised to the positive exponent. For example, a^-n = .

6. Which of the following is equivalent to (x^(1/3))^6?

x^2

x^3

x^(18)

x^(1/18)

7. What is the value of 5^-2?

-25

1/25

-1/25

8. Solve for x: 4^(x-1) = 64

9. Solve for y: 9^(2y) = 27^(y+1)

10. (a^m)^n = a^(m+n)

True

False

11. (ab)^n = a^n * b^n

True

False