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.
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Standards
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Grade 10 Exponent Laws Practice
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Date:
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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?
x⁻⁵
x⁶
1/x⁶
x⁻⁶
4. Simplify: (4x³y²) / (2xy)
2x²y
2x²
2xy
4x²y
5. Indicate whether the following statements are True or False:
a) (x + y)² = x² + y²
True
False
b) x⁻³ = 1/x³
True
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.
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