Grade 9 Exponential Properties Worksheet
This worksheet covers fundamental exponential properties for Grade 9 students, including product, quotient, power, and zero exponent rules.
Includes
Standards
Topics
Exponential Properties Practice
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Read each question carefully and simplify the expressions using the properties of exponents. Show all your work.
Simplify the following expressions using the product rule of exponents:
1. 3^4 * 3^2
2. x^5 * x^3
3. (2y^3)(4y^7)
Simplify the following expressions using the quotient rule of exponents:
1. 5^7 / 5^3
2. a^9 / a^2
3. (12m^8) / (3m^5)
Simplify the following expressions using the power rule of exponents:
1. (2^3)^2
2. (p^4)^5
3. (x^2y^3)^4
1. What is the value of 7^0?
0
1
7
Undefined
2. Simplify (4x^2y^3)^0.
0
1
4x^2y^3
Undefined
Complete the following statements:
1. When multiplying exponents with the same base, you the powers.
2. When dividing exponents with the same base, you the powers.
3. When raising a power to another power, you the exponents.
4. Any non-zero number raised to the power of zero is always .
Simplify the following expressions using a combination of exponential properties:
1. (x^3 * x^5)^2 / x^4
2. (2a^2b)^3 * (3ab^4)