Dividing Powers Worksheet
Practice worksheet for Grade 9 students to master dividing powers with the same base, different bases, and negative exponents.
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Dividing Powers Practice
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Read each question carefully and simplify the expressions involving dividing powers. Show your work where necessary.
1. When dividing powers with the same base, you the exponents.
2. Any non-zero number raised to the power of zero is equal to .
3. The expression \( \frac{a^m}{a^n} \) simplifies to .
4. Simplify: \( \frac{x^7}{x^3} \)
\( x^{10} \)
\( x^4 \)
\( x^{-4} \)
\( x^{\frac{7}{3}} \)
5. Simplify: \( \frac{y^9}{y^2} \)
6. Simplify: \( \frac{10^{12}}{10^5} \)
7. Simplify: \( \frac{a^5b^8}{a^2b^3} \)
8. Simplify: \( \frac{x^4y^6z^2}{x^4y^2z} \)
9. \( \frac{2^5}{2^5} = 1 \)
True
False
Match each expression on the left with its simplified form on the right.
10. \( \frac{m^6}{m^2} \)
a. \( p^5 \)
11. \( \frac{p^8}{p^3} \)
b. \( n^3 \)
12. \( \frac{n^7}{n^4} \)
c. \( m^4 \)
13. Simplify: \( \frac{(x^3)^2}{x^4} \)
14. Simplify: \( \frac{15a^9b^5}{3a^4b^2} \)