Grade 9 Exponent Laws Worksheet
Practice applying the fundamental laws of exponents including product, quotient, power, zero, and negative exponent rules.
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Grade 9 Exponent Laws Worksheet
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Read each question carefully and apply the appropriate exponent laws to simplify the expressions. Show all your work.
1. Simplify the following expressions using the product rule:
a) x³ ⋅ x⁵
b) 2a⁴ ⋅ 3a²
2. Simplify the following expressions using the quotient rule:
a) y⁷ / y³
b) 10m⁸ / 5m²
3. Simplify the following expressions using the power rule:
a) (z⁴)²
b) (3x²)³
4. Which of the following expressions is equivalent to (5x⁰y⁻²)?
5y²
5/y²
1/(5y²)
y²/5
5. Complete the following statements:
a) Any non-zero number raised to the power of zero is equal to .
b) To divide powers with the same base, you the exponents.
c) A negative exponent indicates the of the base raised to the positive exponent.
6. Simplify the expression: (2x³y⁻²)⁴ ⋅ (3x⁻¹y⁵)