Dividing Powers Worksheet
Practice dividing powers with the same base and different bases for 7th-grade math students.
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Dividing Powers
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Read each question carefully and follow the instructions to simplify the expressions involving dividing powers.
Simplify the following expressions. Write your answer using positive exponents.
1. 5^7 / 5^3
2. x^9 / x^2
3. (2^4 * 2^5) / 2^3
Choose the correct simplification for each expression.
4. Which of the following is equivalent to 7^8 / 7^2?
7^10
7^6
7^4
7^16
5. Simplify (a^5 * b^3) / (a^2 * b).
a^7 * b^4
a^3 * b^2
a^3 * b^3
a^2 * b^2
Complete the following statements about dividing powers.
6. When dividing powers with the same base, you the exponents.
7. Any non-zero base raised to the power of zero is always equal to .
Determine if each statement is true or false.
8. (6^5 / 6^5) = 1
True
False
9. 10^0 = 0
True
False
10. Simplify (3^2 * 3^6) / (3^4 * 3^1).
11. If 2^a = 32, and 2^b = 8, what is the value of 2^(a-b)?