Grade 10 Exponential Properties Worksheet
This worksheet covers key concepts and applications of exponential properties for Grade 10 students, including multiplication, division, power of a power, and negative exponents.
Includes
Standards
Exponential Properties Practice
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Read each question carefully and simplify the expressions using the properties of exponents. Show all your work.
1. When multiplying exponents with the same base, you the powers. For example, x^a * x^b = x^(a+b).
2. Any non-zero number raised to the power of zero is equal to . For example, 5^0 = 1.
3. To simplify (x^a)^b, you the exponents. For example, (x^a)^b = x^(a*b).
4. Simplify the expression: (3x^2y^3)^2
3x^4y^5
9x^4y^6
9x^4y^5
6x^4y^6
5. Which of the following is equivalent to x^-3?
1/x^3
-x^3
x * x * x
3x
6. Simplify the expression: (m^5 / m^2)^3
7. Evaluate the expression: (2^3 * 2^4) / 2^5
8. The expression (x^a)^b is equivalent to x^(a+b).
True
False
9. A negative exponent indicates a negative number.
True
False
10. Explain the difference between (a^2)^3 and a^2 * a^3. Provide an example for each.
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