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Evaluate. Write your answer as a whole number or as a simplified fraction. (3^(5))/(3^(3))=

Evaluate. Write your answer as a whole number or as a simplified fraction.\newline3533= \frac{3^{5}}{3^{3}}=

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Full solution

Q. Evaluate. Write your answer as a whole number or as a simplified fraction.\newline3533= \frac{3^{5}}{3^{3}}=
  1. Understand Exponent Properties: Understand the properties of exponents. When dividing powers with the same base, you subtract the exponents. This is based on the quotient rule of exponents which states that am/an=am−na^{m}/a^{n} = a^{m-n} where aa is the base and mm and nn are the exponents.
  2. Apply Quotient Rule: Apply the quotient rule of exponents to the given expression. \newline(35)/(33)=35−3=32(3^{5})/(3^{3}) = 3^{5-3} = 3^2
  3. Calculate Value: Calculate the value of 323^2. 32=3×3=93^2 = 3 \times 3 = 9
  4. Write Final Answer: Write the final answer.\newlineThe simplified form of the expression (35)/(33)(3^{5})/(3^{3}) is 99.

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