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Grade 10 Exponent Laws Worksheet

This worksheet covers fundamental exponent laws for Grade 10 math students, including multiplication, division, power of a power, and zero/negative exponents.

Grade 10 Math Number SenseExponent Laws
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Includes

2 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

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

Topics

Grade 10MathExponent LawsAlgebraNumber Sense
7 sections · Free to use · Printable
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Grade 10 Exponent Laws Practice

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Date:

Score:

Read each question carefully and simplify the expressions using the exponent laws. Show all your work for full marks.

1. Simplify the following expressions:

a) x⁵ * x³

b) y⁷ / y²

c) (a⁴)³

d) (2m²)³

2. Complete the following statements using the correct exponent law:

a) When multiplying exponents with the same base, you   the powers. For example, xᵃ * xᵇ =  .

b) Any non-zero base raised to the power of zero is always equal to  . For example, 5⁰ =  .

c) When dividing exponents with the same base, you   the powers. For example, xᵃ / xᵇ =  .

3. Which of the following expressions is equivalent to (x⁻²)³?

a

x⁻⁵

b

x⁶

c

1/x⁶

d

x⁻⁶

4. Simplify: (4x³y²) / (2xy)

a

2x²y

b

2x²

c

2xy

d

4x²y

5. Indicate whether the following statements are True or False:

a) (x + y)² = x² + y²

T

True

F

False

b) x⁻³ = 1/x³

T

True

F

False

6. A square has a side length of 3x² units. What is the area of the square in terms of x?

7. The volume of a cube is given by the expression (2y³)³. Simplify this expression.