Dividing Powers Worksheet - Grade 11
Master dividing powers with this comprehensive Grade 11 math worksheet, covering properties of exponents and problem-solving.
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Dividing Powers - Grade 11
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Read each question carefully and simplify the expressions involving dividing powers. Show all your work for full credit.
1. When dividing powers with the same base, you the exponents.
2. Any non-zero base raised to the power of zero is equal to .
3. A negative exponent indicates the of the base raised to the positive exponent.
4. Simplify: \( \frac{x^8}{x^3} \)
5. Simplify: \( \frac{12a^7b^4}{3a^2b^3} \)
6. Simplify: \( \frac{(y^2)^5}{y^3} \)
7. Which of the following is equivalent to \( \frac{m^{10}}{m^{-2}} \)?
\( m^8 \)
\( m^{12} \)
\( m^{-5} \)
\( m^{-20} \)
8. What is the value of \( \frac{5^0}{5^2} \)?
\( 1 \)
\( 25 \)
\( \frac{1}{25} \)
\( -25 \)
9. \( \frac{x^6}{x^6} = x^0 = 1 \) is true for all non-zero values of x.
True
False
10. \( \frac{x^2}{x^5} = x^3 \)
True
False
11. Explain in your own words the rule for dividing powers with the same base. Provide an example.