Exponentiation Review
This worksheet covers fundamental concepts and applications of exponentiation for Grade 11 students, including rules of exponents, scientific notation, and exponential equations.
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Exponentiation Review
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Date:
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Read each question carefully and answer to the best of your ability. Show all your work where applicable.
1. Simplify the expression (x^3)^2 * x^5.
x^10
x^11
x^15
x^30
2. Which of the following is equivalent to 1/(a^-3)?
a^3
-a^3
1/a^3
a^-3
3. Any non-zero number raised to the power of zero is equal to .
4. When multiplying powers with the same base, you the exponents.
5. Scientific notation expresses numbers as a product of a number between 1 and 10 and a power of .
6. Explain the power of a power rule for exponents. Provide an example.
7. (2^3)^4 is equal to 2^7.
True
False
8. The expression x^0 is undefined when x = 0.
True
False
9. Simplify the following expression, leaving no negative exponents: (3x^2 y^-3)^2 / (9x^-4 y^5)
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