Dividing Powers Worksheet
Grade 8 worksheet focusing on rules for dividing powers with the same base and different bases, including practice problems and word problems.
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Dividing Powers Worksheet
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Read each question carefully and simplify the expressions involving powers. Show all your work.
1. To divide powers with the same base, you their exponents. (e.g., x^a / x^b = x^(a-b))
2. Any non-zero number raised to the power of zero is equal to .
3. A negative exponent indicates the of the base raised to the positive exponent.
Simplify the following expressions. Write your answers with positive exponents.
4. 5^7 / 5^3
5. x^10 / x^4
6. (y^2)^5 / y^3
7. Which of the following is equivalent to (2^8) / (2^3)?
2^11
2^5
2^24
1/2^5
8. Simplify: (10a^5b^2) / (2a^2b)
5a^3b
8a^3b
5a^7b^3
5a^(5/2)b
Simplify the following expressions. Write your answers with positive exponents.
9. (3^2 * 3^5) / 3^4
10. (m^6 * n^3) / (m^2 * n^7)
11. (12x^9y^5) / (3x^2y^8)
12. True or False: (a^8 / a^2) = a^4
True
False
13. True or False: (p^0) = 1, for any non-zero p.
True
False
14. A scientist is observing a bacterial culture. The initial population is 10^8 bacteria. After an experiment, the population decreased to 10^3 bacteria. By what factor did the population decrease? Express your answer as a power.